120864409592160 has 768 divisors, whose sum is σ = 435891020108544. Its totient is φ = 27887614820352.

The previous prime is 120864409592131. The next prime is 120864409592183. The reversal of 120864409592160 is 61295904468021.

It is a happy number.

It is a super-2 number, since 2×120864409592160² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 120864409592160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 60522988282 + ... + 60522990278.

It is an arithmetic number, because the mean of its divisors is an integer number (567566432433).

Almost surely, 2^{120864409592160} is an apocalyptic number.

120864409592160 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 120864409592160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217945510054272).

120864409592160 is an abundant number, since it is smaller than the sum of its proper divisors (315026610516384).

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

120864409592160 is a wasteful number, since it uses less digits than its factorization.

120864409592160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4075 (or 4067 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 57.

The spelling of 120864409592160 in words is "one hundred twenty trillion, eight hundred sixty-four billion, four hundred nine million, five hundred ninety-two thousand, one hundred sixty".