120685156859904 has 1536 divisors, whose sum is σ = 433003518884160. Its totient is φ = 29527363289088.

The previous prime is 120685156859873. The next prime is 120685156859923. The reversal of 120685156859904 is 409958651586021.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77710982392 + ... + 77710983944.

Almost surely, 2^{120685156859904} is an apocalyptic number.

120685156859904 is a gapful number since it is divisible by the number (14) 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 120685156859904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216501759442080).

120685156859904 is an abundant number, since it is smaller than the sum of its proper divisors (312318362024256).

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

120685156859904 is a wasteful number, since it uses less digits than its factorization.

120685156859904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 186624000, while the sum is 69.

The spelling of 120685156859904 in words is "one hundred twenty trillion, six hundred eighty-five billion, one hundred fifty-six million, eight hundred fifty-nine thousand, nine hundred four".