The funny part is 24 and 60 are already great numbers to base your time system on. They're both very divisible which means you can divide up the day or hour into halves, thirds, and quarters without dealing with fractional time periods. It would remove a practical aspect of time keeping to no benefit.

Longer days. Which kind of works in an area where the sun doesn't rise all winter and doesn't set all summer. Until you have to consider having to work with anyone else. Not only do you have timezone offsets that change every day, you get date offsets. After less than a month, you're already two days off from the rest of the world.