120094968960 has 192 divisors, whose sum is σ = 436529808000. Its totient is φ = 30339753984.

The previous prime is 120094968949. The next prime is 120094969003. The reversal of 120094968960 is 69869490021.

120094968960 is a `hidden beast` number, since 12 + 0 + 0 + 9 + 496 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 120094968897 and 120094968906.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 439240 + ... + 658119.

It is an arithmetic number, because the mean of its divisors is an integer number (2273592750).

Almost surely, 2^120094968960 is an apocalyptic number.

120094968960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120094968960 is an abundant number, since it is smaller than the sum of its proper divisors (316434839040).

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

120094968960 is a wasteful number, since it uses less digits than its factorization.

120094968960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097403 (or 1097388 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 120094968960 in words is "one hundred twenty billion, ninety-four million, nine hundred sixty-eight thousand, nine hundred sixty".