11797125120 has 576 divisors, whose sum is σ = 46363000320. Its totient is φ = 2853273600.

The previous prime is 11797125091. The next prime is 11797125157. The reversal of 11797125120 is 2152179711.

11797125120 is a `hidden beast` number, since 1 + 1 + 79 + 71 + 2 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×11797125120² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27371305 + ... + 27371735.

It is an arithmetic number, because the mean of its divisors is an integer number (80491320).

Almost surely, 2^11797125120 is an apocalyptic number.

11797125120 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 11797125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23181500160).

11797125120 is an abundant number, since it is smaller than the sum of its proper divisors (34565875200).

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

11797125120 is an equidigital number, since it uses as much as digits as its factorization.

11797125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 36.

The spelling of 11797125120 in words is "eleven billion, seven hundred ninety-seven million, one hundred twenty-five thousand, one hundred twenty".