The 12HT is nearly the same motor as the 2H (both built by Hino, a Toyota subsidiary), but the 12HT has piston skirt cooling (that's what the 1 signifies) and the T signifies the factory turbo. It is also a direct injection motor (the 2H is indirect--better for WVO--if you're a greaser). Displacement is slightly (very slightly) lower than the 2H, and a good turbo kit on a 2H actually outperforms the 12HT, or so the turbo kit manufacturers say...
Between the two, I'd go for the 2H and then turbo it, but maybe that's just because it is what I have (minus the turbo, but plan on adding one).
The 12HT was the motor in the HJ61, some late HJ60s (I think) and the few HJ62s that were made.