LM6132: Will rail-to-rail works to an asymmetric power supply of 12V and -5V ?

Part Number:LM6132

I'm loking for an rail-to-rail OPAMP to my project. I need a OPAMP that fed by a 12V and a -5V power supplies can generate an output voltage near these values, at least, near the positive 12V, the value of the negative source is not needed to be reached at the output.

I found the  LM6132, and I read at its datasheet that  it has a wide supply range of 2.7 V to over 24 V. But, at the same time, it says "for 5V Supply, Typ Unless Noted" and "Rail-to-Rail Output Swing 0.01V to 4.99V".

So, I would like to know if it can be fed by an asymmetric power supply and if, with a asymmetric power, it can reach the positve VDD of 12V at its output.