120844800 has 180 divisors, whose sum is σ = 432882450. Its totient is φ = 32194560.

The previous prime is 120844771. The next prime is 120844813. The reversal of 120844800 is 8448021.

It can be written as a sum of positive squares in 3 ways, for example, as 110502144 + 10342656 = 10512^2 + 3216^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 114676 + ... + 115724.

Almost surely, 2^120844800 is an apocalyptic number.

120844800 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 120844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216441225).

120844800 is an abundant number, since it is smaller than the sum of its proper divisors (312037650).

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

120844800 is a wasteful number, since it uses less digits than its factorization.

120844800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 120844800 is about 10992.9431909748. The cubic root of 120844800 is about 494.3971847642.

The spelling of 120844800 in words is "one hundred twenty million, eight hundred forty-four thousand, eight hundred".