12. From the given six different colors, select several colors to paint the six faces of a cube, with each face painted exactly one color, and any two faces sharing a common edge must be painted different colors. How many different coloring schemes are there? (Note: If we color two identical cubes and can make the colors of the corresponding top, bottom, left, right, front, and back faces of the two cubes the same by appropriate rotation, we say that the two cubes have the same coloring scheme.)
12. The total number of coloring schemes is $30+90+90+20=230$.