120956584320 has 384 divisors, whose sum is σ = 490702212000. Its totient is φ = 27067023360.

The previous prime is 120956584277. The next prime is 120956584327. The reversal of 120956584320 is 23485659021.

120956584320 is a `hidden beast` number, since 1 + 2 + 0 + 9 + 565 + 84 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×120956584320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120956584327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 750256 + ... + 897104.

Almost surely, 2^120956584320 is an apocalyptic number.

120956584320 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 120956584320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245351106000).

120956584320 is an abundant number, since it is smaller than the sum of its proper divisors (369745627680).

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

120956584320 is a wasteful number, since it uses less digits than its factorization.

120956584320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146898 (or 146883 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 120956584320 in words is "one hundred twenty billion, nine hundred fifty-six million, five hundred eighty-four thousand, three hundred twenty".