11913120 has 72 divisors (see below), whose sum is σ = 40658436. Its totient is φ = 3176448.

The previous prime is 11913119. The next prime is 11913127. The reversal of 11913120 is 2131911.

11913120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11861136 + 51984 = 3444^2 + 228^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11913093 and 11913102.

It is not an unprimeable number, because it can be changed into a prime (11913127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2697 + ... + 5576.

Almost surely, 2^11913120 is an apocalyptic number.

11913120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11913120 is an abundant number, since it is smaller than the sum of its proper divisors (28745316).

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

11913120 is a wasteful number, since it uses less digits than its factorization.

11913120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8294 (or 8283 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 11913120 is about 3451.5387872658. The cubic root of 11913120 is about 228.3889943098.

The spelling of 11913120 in words is "eleven million, nine hundred thirteen thousand, one hundred twenty".