As others already pointed out, when you are trying to build a 32 bit binary, you will need the corresponding 32 bit Qt libraries. You can have the 32 and 64 bit installations simultaneously, but please be careful about not mixing them up in random situations.
If you go to the Qt download page, you will see the VS2012 download options for Qt 5, so select the version you need, download it, and then install.
This is the only available variant for you:
Qt 5.2.1 for Windows 32-bit (VS 2012, 541 MB)
If that is not good enough (I think it should), then you can also build Qt yourself based on the following instructions:
Building Qt 5 from Git
Note that you could also build from tarball, and the steps would be very similar.