11631120 has 40 divisors (see below), whose sum is σ = 36057216. Its totient is φ = 3101568.

The previous prime is 11631101. The next prime is 11631157. The reversal of 11631120 is 2113611.

It is a tau number, because it is divible by the number of its divisors (40).

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 11631120.

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, 23992 + ... + 24471.

Almost surely, 2^11631120 is an apocalyptic number.

11631120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11631120 is an abundant number, since it is smaller than the sum of its proper divisors (24426096).

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

11631120 is a wasteful number, since it uses less digits than its factorization.

11631120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48479 (or 48473 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 11631120 is about 3410.4427865015. The cubic root of 11631120 is about 226.5724906732.

Adding to 11631120 its reverse (2113611), we get a palindrome (13744731).

The spelling of 11631120 in words is "eleven million, six hundred thirty-one thousand, one hundred twenty".