11226120 has 64 divisors (see below), whose sum is σ = 35665920. Its totient is φ = 2817024.

The previous prime is 11226109. The next prime is 11226157. The reversal of 11226120 is 2162211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11226120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 712 + ... + 4791.

It is an arithmetic number, because the mean of its divisors is an integer number (557280).

Almost surely, 2^11226120 is an apocalyptic number.

11226120 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 11226120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17832960).

11226120 is an abundant number, since it is smaller than the sum of its proper divisors (24439800).

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

11226120 is a wasteful number, since it uses less digits than its factorization.

11226120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5534 (or 5530 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 11226120 is about 3350.5402549440. The cubic root of 11226120 is about 223.9115828768.

Adding to 11226120 its reverse (2162211), we get a palindrome (13388331).

The spelling of 11226120 in words is "eleven million, two hundred twenty-six thousand, one hundred twenty".