'Microsoft.ACE.OLEDB.12.0' provider is not registered on the local machine

Well, you need to install it. You're looking for:

• The 2007 Office System Driver: Data Connectivity Components.

A 64-bit version of the 'Microsoft Access Database Engine 2010 Redistributable' that will allow you to use the 'Microsoft.ACE.OLEDB.12.0' provider is available here:
http://www.microsoft.com/en-us/download/details.aspx?id=13255

If you use the download from the accepted answer, you will need to build for x86, as pointed out by @backtestbroker.com.

depending on the app(32/64bit) using the connection you could just install

• Access 2007 engines (only 32bit)
• Access 2010 (32&64bit)
• Access 2013 full runtime (32&64bit ! >200mb)
• Access 2016 runtime
• Access 2019 runtime

Summary:

• all offices from 2007-2016 contain the provider "Microsoft.ACE.Oledb.12.0"
• depending on your application architecture choose the appropriate runtime engine (32/64)6

• check your providers with the powershell-command from both 32 and 64bit shell:

  (New-Object system.data.oledb.oledbenumerator).GetElements() | select SOURCES_NAME, SOURCES_DESCRIPTION 
  

• and you will see which provider your system can use

the long story: the strings can be found with http://live.sysinternals.com/strings.exe

eg. on a 64bit System with 32bit drivers installed

strings.exe -u -n 10 "c:\Program Files (x86)\Common Files\microsoft shared\OFFICE12\MSO.DLL" | findstr "ACE.O"
strings.exe -u -n 10 "c:\Program Files (x86)\Common Files\microsoft shared\OFFICE14\MSO.DLL" | findstr "ACE.O"
strings.exe -u -n 10 "c:\Program Files (x86)\Common Files\microsoft shared\OFFICE15\MSO.DLL" | findstr "ACE.O"

even in the upcoming office 2016

c:\Program Files\Microsoft Office\root\VFS\ProgramFilesCommonX64\Microsoft Shared\OFFICE16\MSO.DLL
c:\Program Files\Microsoft Office\root\VFS\ProgramFilesCommonX86\Microsoft Shared\OFFICE16\MSO.DLL

you will find the strings

• Microsoft.ACE.OLEDB

• Microsoft.ACE.Oledb.12.0

the Office 2013 comes also with csi.dll

c:\Program Files (x86)\Common Files\microsoft shared\OFFICE15\Csi.dll
c:\Program Files\Common Files\Microsoft Shared\OFFICE15\Csi.dll

which contains the "Microsoft.ACE.OLEDB.15.0"

and Office 2016

c:\Program Files\Microsoft Office\root\VFS\ProgramFilesCommonX64\Microsoft Shared\OFFICE16\Csi.dll
c:\Program Files\Microsoft Office\root\VFS\ProgramFilesCommonX86\Microsoft Shared\OFFICE16\Csi.dll

which has the "Microsoft.ACE.OLEDB.16.0" version