11365120 has 72 divisors (see below), whose sum is σ = 29360016. Its totient is φ = 4190208.

The previous prime is 11365099. The next prime is 11365139. The reversal of 11365120 is 2156311.

It is a super-2 number, since 2×11365120² = 258331905228800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16299 + ... + 16981.

It is an arithmetic number, because the mean of its divisors is an integer number (407778).

Almost surely, 2^11365120 is an apocalyptic number.

11365120 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 11365120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14680008).

11365120 is an abundant number, since it is smaller than the sum of its proper divisors (17994896).

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

11365120 is an equidigital number, since it uses as much as digits as its factorization.

11365120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 11365120 is about 3371.2193639691. The cubic root of 11365120 is about 224.8319403458.

The spelling of 11365120 in words is "eleven million, three hundred sixty-five thousand, one hundred twenty".