120715920000 has 800 divisors, whose sum is σ = 483786529380. Its totient is φ = 29693952000.

The previous prime is 120715919993. The next prime is 120715920001. The reversal of 120715920000 is 29517021.

120715920000 is a `hidden beast` number, since 1 + 2 + 0 + 71 + 592 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 10497231936 + 110218688064 = 102456^2 + 331992^2 .

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (120715920001) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 84239284 + ... + 84240716.

Almost surely, 2^120715920000 is an apocalyptic number.

120715920000 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 120715920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241893264690).

120715920000 is an abundant number, since it is smaller than the sum of its proper divisors (363070609380).

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

120715920000 is an equidigital number, since it uses as much as digits as its factorization.

120715920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 120715920000 in words is "one hundred twenty billion, seven hundred fifteen million, nine hundred twenty thousand".