Base 12 and base 10 are related to base 2 in a very similar way and both require the same type of conversion from and to base 2. From the point of view of computers, there is no real difference between base 12 and base 10. Base 12 might be easier for human use, not computer use.
What would fit computers better might be the bases that are powers of 2 like base 8 and base 16, but they hold no real advantage over base 10 for us.
RE: The Curious Case For Base 12 (Why Dozens Are Easier For Everyday Maths Than Tens)