120857676800 has 792 divisors, whose sum is σ = 375015640320. Its totient is φ = 38414745600.

The previous prime is 120857676799. The next prime is 120857676811. The reversal of 120857676800 is 8676758021.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1702220765 + ... + 1702220835.

Almost surely, 2^120857676800 is an apocalyptic number.

120857676800 is a gapful number since it is divisible by the number (10) 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 120857676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187507820160).

120857676800 is an abundant number, since it is smaller than the sum of its proper divisors (254157963520).

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

120857676800 is a wasteful number, since it uses less digits than its factorization.

120857676800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 50.

The spelling of 120857676800 in words is "one hundred twenty billion, eight hundred fifty-seven million, six hundred seventy-six thousand, eight hundred".