11165120 has 112 divisors (see below), whose sum is σ = 29187648. Its totient is φ = 4055040.

The previous prime is 11165071. The next prime is 11165123. The reversal of 11165120 is 2156111.

It is a super-2 number, since 2×11165120² = 249319809228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11165123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272300 + ... + 272340.

It is an arithmetic number, because the mean of its divisors is an integer number (260604).

Almost surely, 2^11165120 is an apocalyptic number.

11165120 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 11165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14593824).

11165120 is an abundant number, since it is smaller than the sum of its proper divisors (18022528).

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

11165120 is a wasteful number, since it uses less digits than its factorization.

11165120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 17.

The square root of 11165120 is about 3341.4248457806. The cubic root of 11165120 is about 223.5052857563.

Subtracting from 11165120 its reverse (2156111), we obtain a palindrome (9009009).

The spelling of 11165120 in words is "eleven million, one hundred sixty-five thousand, one hundred twenty".