"a lot of attempts" is doing a LOT of heavy lifting here.
If your password was a set of random letters (both upper and lower case) and numbers and 20 characters long, then even if you could attempt 1,000 logins/second (a very high number for an online attack), it would take a whopping 2,232,000,000,000,000,000,000,000 years.
If you could do 1,000,000 logins/second, an absolutely absurd number for an online attack, that only takes 3 zeros off that number.