11153120 has 48 divisors (see below), whose sum is σ = 28749168. Its totient is φ = 4055040.

The previous prime is 11153117. The next prime is 11153201. The reversal of 11153120 is 2135111.

It is a junction number, because it is equal to n+sod(n) for n = 11153095 and 11153104.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1409 + ... + 4928.

It is an arithmetic number, because the mean of its divisors is an integer number (598941).

Almost surely, 2^11153120 is an apocalyptic number.

11153120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11153120 is an abundant number, since it is smaller than the sum of its proper divisors (17596048).

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

11153120 is a wasteful number, since it uses less digits than its factorization.

11153120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6363 (or 6355 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

The square root of 11153120 is about 3339.6287218791. The cubic root of 11153120 is about 223.4251843669.

Adding to 11153120 its reverse (2135111), we get a palindrome (13288231).

Subtracting from 11153120 its reverse (2135111), we obtain a square (9018009 = 3003²).

The spelling of 11153120 in words is "eleven million, one hundred fifty-three thousand, one hundred twenty".