120087965760 has 224 divisors, whose sum is σ = 440064582912. Its totient is φ = 27176755200.

The previous prime is 120087965749. The next prime is 120087965791. The reversal of 120087965760 is 67569780021.

120087965760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×120087965760² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 590254 + ... + 767186.

Almost surely, 2^120087965760 is an apocalyptic number.

120087965760 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 120087965760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220032291456).

120087965760 is an abundant number, since it is smaller than the sum of its proper divisors (319976617152).

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

120087965760 is a wasteful number, since it uses less digits than its factorization.

120087965760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177061 (or 177051 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The spelling of 120087965760 in words is "one hundred twenty billion, eighty-seven million, nine hundred sixty-five thousand, seven hundred sixty".