Advocating base 12 number system

Solution 1:

As I see it, there are two advantages. First, it's not too different from base 10, so it comes fairly naturally. Second, 12 has many divisors, so $1/2, 1/3, 1/4, 1/6, 1/8, 1/9, 1/12,\ldots$ would all be terminating decimals.

Solution 2:

More factors: 1/2, 1/3, 1/4, 1/6 (and sometimes 1/12) are common fractions, which would turn out "even" (not infinite). The Babylonians where on to something with their base-60 system...

Solution 3:

Well, in the base $10$ number system it is as easy to multiply by 5 as to divide by 2 (the answers differ by 0 at the end). And it is as easy to multiply by 2, 4, 8... as to divide by 5, 25, 125..., by the same reason. So in the base $12$ number system it is as hard to divide by 2,3,4,6,12,4,9,16... as to multiply by 6,4,3,2,1,36,16,9..., and, therefore, one can trade division to multiplication in more instances...