120860800 has 96 divisors (see below), whose sum is σ = 301654800. Its totient is φ = 47846400.

The previous prime is 120860783. The next prime is 120860809. The reversal of 120860800 is 8068021.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (120860809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 572695 + ... + 572905.

Almost surely, 2^120860800 is an apocalyptic number.

120860800 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 120860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150827400).

120860800 is an abundant number, since it is smaller than the sum of its proper divisors (180794000).

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

120860800 is a wasteful number, since it uses less digits than its factorization.

120860800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 120860800 is about 10993.6709064807. The cubic root of 120860800 is about 494.4190033995.

The spelling of 120860800 in words is "one hundred twenty million, eight hundred sixty thousand, eight hundred".