11872365120 has 1008 divisors, whose sum is σ = 53290159104. Its totient is φ = 2372198400.

The previous prime is 11872365119. The next prime is 11872365139. The reversal of 11872365120 is 2156327811.

11872365120 is a `hidden beast` number, since 118 + 7 + 23 + 6 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×11872365120² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75620082 + ... + 75620238.

Almost surely, 2^11872365120 is an apocalyptic number.

11872365120 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 11872365120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26645079552).

11872365120 is an abundant number, since it is smaller than the sum of its proper divisors (41417793984).

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

11872365120 is a wasteful number, since it uses less digits than its factorization.

11872365120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 11872365120 in words is "eleven billion, eight hundred seventy-two million, three hundred sixty-five thousand, one hundred twenty".