Is "To be not invited is sad" grammatical?

I know that "Not to be invited is sad" is a grammatical sentence in English. How about "To be not invited is sad"?

It's grammatically correct but sounds awkward. The rules on where to put the "not" are fairly loose in English. You could say "to not be invited" as well. I think that "not to be invited" is most common. It sounds best to me anyway.