11222120 has 64 divisors (see below), whose sum is σ = 31086720. Its totient is φ = 3550464.

The previous prime is 11222089. The next prime is 11222129. The reversal of 11222120 is 2122211.

It is a happy number.

11222120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11222129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2099 + ... + 5181.

It is an arithmetic number, because the mean of its divisors is an integer number (485730).

Almost surely, 2^11222120 is an apocalyptic number.

11222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15543360).

11222120 is an abundant number, since it is smaller than the sum of its proper divisors (19864600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11222120 is a wasteful number, since it uses less digits than its factorization.

11222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3114 (or 3110 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 11222120 is about 3349.9432831020. The cubic root of 11222120 is about 223.8849855980.

Adding to 11222120 its reverse (2122211), we get a palindrome (13344331).

Subtracting from 11222120 its reverse (2122211), we obtain a palindrome (9099909).

The spelling of 11222120 in words is "eleven million, two hundred twenty-two thousand, one hundred twenty".