120715414560 has 480 divisors, whose sum is σ = 460334674800. Its totient is φ = 29614989312.

The previous prime is 120715414531. The next prime is 120715414591. The reversal of 120715414560 is 65414517021.

120715414560 is a `hidden beast` number, since 1 + 2 + 0 + 71 + 541 + 45 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 44094960144 + 76620454416 = 209988^2 + 276804^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×120715414560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 58798494 + ... + 58800546.

Almost surely, 2^120715414560 is an apocalyptic number.

120715414560 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 120715414560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230167337400).

120715414560 is an abundant number, since it is smaller than the sum of its proper divisors (339619260240).

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

120715414560 is a wasteful number, since it uses less digits than its factorization.

120715414560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2442 (or 2425 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 120715414560 in words is "one hundred twenty billion, seven hundred fifteen million, four hundred fourteen thousand, five hundred sixty".