120900076416 has 160 divisors (see below), whose sum is σ = 411196439280. Its totient is φ = 34542858240.

The previous prime is 120900076411. The next prime is 120900076447. The reversal of 120900076416 is 614670009021.

120900076416 is a `hidden beast` number, since 1 + 2 + 0 + 9 + 0 + 0 + 0 + 7 + 641 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120900076411) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 760345 + ... + 905496.

Almost surely, 2^120900076416 is an apocalyptic number.

120900076416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

120900076416 is an abundant number, since it is smaller than the sum of its proper divisors (290296362864).

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

120900076416 is an equidigital number, since it uses as much as digits as its factorization.

120900076416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665874 (or 1665853 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 120900076416 in words is "one hundred twenty billion, nine hundred million, seventy-six thousand, four hundred sixteen".