Johnny Ball - a mathematician/commedian, who does a lot to popularise maths in the young, explained why the duo-decimal system came into being.

The Babylonians counted with their fingers and counted down the bones/joints. Hence 12. The thumb being not so easy to include and 14 or 15 does not divide so conveniently. However the other hand had five digits so counting to 60 was easy with two hands. But their 360 day year was not a commercial brand. The Chinese astronomers got to 365 days which stymied their polar trigonmetry for 3000 years.

My guess is that if a Babylonian wanted to sign a meeting time he could point to the appropriate finger/bone. Can any Babylonian scholars out there confirm this.

And how did they teach the Baby lonians in school - and what happened during daylight saving time? Surgery?