120939879168 has 432 divisors, whose sum is σ = 380233840896. Its totient is φ = 38265384960.

The previous prime is 120939879167. The next prime is 120939879223. The reversal of 120939879168 is 861978939021.

120939879168 is a `hidden beast` number, since 12 + 0 + 9 + 398 + 79 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (120939879167) 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, 258971671 + ... + 258972137.

It is an arithmetic number, because the mean of its divisors is an integer number (880170928).

Almost surely, 2^120939879168 is an apocalyptic number.

120939879168 is a gapful number since it is divisible by the number (18) 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 120939879168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190116920448).

120939879168 is an abundant number, since it is smaller than the sum of its proper divisors (259293961728).

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

120939879168 is an equidigital number, since it uses as much as digits as its factorization.

120939879168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The spelling of 120939879168 in words is "one hundred twenty billion, nine hundred thirty-nine million, eight hundred seventy-nine thousand, one hundred sixty-eight".