11133120 has 56 divisors (see below), whose sum is σ = 35350704. Its totient is φ = 2968576.

The previous prime is 11133119. The next prime is 11133137. The reversal of 11133120 is 2133111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11133096 and 11133105.

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, 4839 + ... + 6758.

Almost surely, 2^11133120 is an apocalyptic number.

11133120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11133120 is an abundant number, since it is smaller than the sum of its proper divisors (24217584).

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

11133120 is a wasteful number, since it uses less digits than its factorization.

11133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11617 (or 11607 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 11133120 is about 3336.6330334635. The cubic root of 11133120 is about 223.2915542749.

Adding to 11133120 its reverse (2133111), we get a palindrome (13266231).

Subtracting from 11133120 its reverse (2133111), we obtain a palindrome (9000009).

The spelling of 11133120 in words is "eleven million, one hundred thirty-three thousand, one hundred twenty".