120990011688 has 480 divisors, whose sum is σ = 446909047200. Its totient is φ = 30228049152.

The previous prime is 120990011657. The next prime is 120990011699. The reversal of 120990011688 is 886110099021.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7835031 + ... + 7850457.

It is an arithmetic number, because the mean of its divisors is an integer number (931060515).

Almost surely, 2^120990011688 is an apocalyptic number.

120990011688 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 120990011688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223454523600).

120990011688 is an abundant number, since it is smaller than the sum of its proper divisors (325919035512).

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

120990011688 is a wasteful number, since it uses less digits than its factorization.

120990011688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15491 (or 15471 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The spelling of 120990011688 in words is "one hundred twenty billion, nine hundred ninety million, eleven thousand, six hundred eighty-eight".