11937120 has 96 divisors (see below), whose sum is σ = 40515552. Its totient is φ = 2936832.

The previous prime is 11937103. The next prime is 11937127. The reversal of 11937120 is 2173911.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11937127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5284 + ... + 7196.

It is an arithmetic number, because the mean of its divisors is an integer number (422037).

Almost surely, 2^11937120 is an apocalyptic number.

11937120 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 11937120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20257776).

11937120 is an abundant number, since it is smaller than the sum of its proper divisors (28578432).

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

11937120 is a wasteful number, since it uses less digits than its factorization.

11937120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1944 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 24.

The square root of 11937120 is about 3455.0137481637. The cubic root of 11937120 is about 228.5422611591.

The spelling of 11937120 in words is "eleven million, nine hundred thirty-seven thousand, one hundred twenty".