120856800 has 144 divisors (see below), whose sum is σ = 404317872. Its totient is φ = 31334400.

The previous prime is 120856781. The next prime is 120856819. The reversal of 120856800 is 8658021.

It is an interprime number because it is at equal distance from previous prime (120856781) and next prime (120856819).

It is a super-2 number, since 2×120856800² = 29212732212480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88120 + ... + 89480.

It is an arithmetic number, because the mean of its divisors is an integer number (2807763).

Almost surely, 2^120856800 is an apocalyptic number.

120856800 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 120856800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202158936).

120856800 is an abundant number, since it is smaller than the sum of its proper divisors (283461072).

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

120856800 is a wasteful number, since it uses less digits than its factorization.

120856800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 120856800 is about 10993.4889821203. The cubic root of 120856800 is about 494.4135489212.

The spelling of 120856800 in words is "one hundred twenty million, eight hundred fifty-six thousand, eight hundred".