Base-12 (dozenal) is a personal fave of mine too! It’s down to that or base-18. Base-18 has the same overall kind of advantages to it as dozenal, plus the awesome 3-digit rotational multiples of 7 (just like decimal multiples of 27 and 37). That’s because 7 cubed equals 111 (base-18). Decimal 111 is 3 times 37; 999 is 27 times 37.
Decimal has 037, 370, 703, 259, 592, 925, etc. Base-18 has 02D (D the digit for 13), 2D0, D02, 083, 308, 830, etc.
Dozenal 101 is composite, meaning its dozenal factors 5 and 25 have rotational multiples in 4 digits - because they’re factors of 1,111. But I don’t find dozenal with that facet in 3 digits, because its 111 is prime (decimal 157). Base-18 has it both in 3-digit and 4-digit because its 101 (and thus 1,111) is divisible by 5 and its square (17) and by D.
Dozenal is rhythmic in its dozens with its multiples of 3, 4, and 6, but not 9. That is to say, multiples of 3 have for the units’ place a 3, 6, 9, or 0; for multiples of 4, it’s 4, 8, or 0. Base-18 is rhythmic too, not in 2-squared (4) but in 3-squared (9). Multiples of 3 have as unit digit 3, 6, 9, C, F, 0; for multiples of 9, either 9 or 0.
I guess just whichever is easier to use and/or whichever has more cool stuff.