After trying the links above, I found additional information saying to delete the FNP_ACT_Installer.dll from the C:\Program Files\Common Files\Autodesk Shared\AdLM\R4. The program asked for the file, but after copying the dll from my upacked installer package, it still gave me the same error.
This was the 4th time I tried installing it. So, I went nuclear. Here is how I got it to work:
1st - I deleted the partial install of Revit 2012 under C:\Program Files\Autodesk\Revit Architecture 2012.
2nd - Then I ran CCleaner to clean all the Revit 2012 registry items that it installed from the failed attempts.
3rd - Then I deleted the unpacked installer package and restarted the computer.
4th - Next, I re-unpacked the installer to C:\Autodesk
5th - Installed Revit and it worked!!!
Hope this helps anyone else who is having this issue.