Thanks MM. Yes, you are absolutely correct. I was looking for something else. And I'd like to use this in speaking. Please see the following and do correct if required:
1. I not even know this fact. 2. I not even saw him. 3. I will not even talk to him.
Your use is basically OK, Sarvan-- but they are not a use of 'not even' as a phrase; they are a use of 'even' in negative sentences. The sentences as a whole need some restructuring:
1. I don't (do not) even know this fact. 2. I didn't (did not) even saw him. 3. I won't (will not) even talk to him.