120715758499392 has 896 divisors, whose sum is σ = 438352065331200. Its totient is φ = 31851243325440.

The previous prime is 120715758499321. The next prime is 120715758499409. The reversal of 120715758499392 is 293994857517021.

It is a happy number.

120715758499392 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 1 + 5 + 7 + 584 + 9 + 9 + 39 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 120715758499392.

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, 6785206017 + ... + 6785223807.

Almost surely, 2^{120715758499392} is an apocalyptic number.

120715758499392 is a gapful number since it is divisible by the number (12) 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 120715758499392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219176032665600).

120715758499392 is an abundant number, since it is smaller than the sum of its proper divisors (317636306831808).

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

120715758499392 is an equidigital number, since it uses as much as digits as its factorization.

120715758499392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17929 (or 17855 counting only the distinct ones).

The product of its (nonzero) digits is 342921600, while the sum is 72.

The spelling of 120715758499392 in words is "one hundred twenty trillion, seven hundred fifteen billion, seven hundred fifty-eight million, four hundred ninety-nine thousand, three hundred ninety-two".