I agree with you, except that I think the time system is great. It was deliberately designed to be maximally divisible, and makes a lot of sense in that manner. 12 hours of daylight— a highly divisible number, with 60 small (minuscule, or “minute”) divisions of the hour, which is even MORE divisible than 12. Then when time keeping got more accurate, they added a second division of 60 more parts, and… well, called ‘em seconds.

Basically, 12 and 60 are just so divisible they make really good bases.