RE: 12" prop on a 46AX?
I can't imagine that engine pulling a 12x6 very well. Sure, it may turn it but performance wouldn't be great.
The only 12" prop that works on that engine that I know of is the APC 12.25x3.75 or similar. That is mainly for fun-fly/3D plane such as a profile.
The .46 really works well with 11x5 and 11x6 props for most types of planes and types of flying. The engine really seems to love those. APC 11x6 is ideal in my opinion. I've seen smaller diamter, higher pitch props used for racing but that's about it.