Why can't Ubuntu Make install Intellij IDEA on 16.04?

The version of ubuntu-make in the 16.04 packages doesn't support IntelliJ. According to TechGeeks you will need at least version 16.03 (the one in Ubuntu 16.04 is 16.02.1). To do this, execute the following (if this is a new install):

sudo add-apt-repository ppa:ubuntu-desktop/ubuntu-make
sudo apt update
sudo apt install ubuntu-make

If you still have it installed, you can just do the following:

sudo add-apt-repository ppa:ubuntu-desktop/ubuntu-make
sudo apt update
sudo apt dist-upgrade

This got my ubuntu-make version up to 16.09 and I was able to install IntelliJ IDEA using the command you used in your post.