I never notice 1:11 or 11:11.
I notice 11:34 (hell upside down) more often.
My opinion is simply that when you take notice of a certain number, whatever the reason may be, it will always reappear more so than any other number because you consciously made it into something more than it really is.
Numbers are everywhere; 1:11 left in the fourth quarter of football game, hundred and eleven steps from your front door to your car, $1.11 for the hotdog you bought at lunch, etc.
When your mind becomes fixated with anything, you will filter everything else out and find that thing everywhere.
For example my first car was a red Ford Tempo. I never remembered seeing anyone else drive this but after I got it I would see red Ford Tempo’s everywhere.
11:34 comes from a night on Acid in a friend’s truck speeding down a dark street when it was pointed out to me that the clock said “hell” upside down. Ever since then 11:34 has stood out.