120202880 has 96 divisors (see below), whose sum is σ = 334363140. Its totient is φ = 41201664.

The previous prime is 120202877. The next prime is 120202921. The reversal of 120202880 is 88202021.

It can be written as a sum of positive squares in 2 ways, for example, as 114404416 + 5798464 = 10696^2 + 2408^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29444 + ... + 33276.

Almost surely, 2^120202880 is an apocalyptic number.

120202880 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 120202880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167181570).

120202880 is an abundant number, since it is smaller than the sum of its proper divisors (214160260).

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

120202880 is an equidigital number, since it uses as much as digits as its factorization.

120202880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3866 (or 3847 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 120202880 is about 10963.7074021519. The cubic root of 120202880 is about 493.5202278649.

The spelling of 120202880 in words is "one hundred twenty million, two hundred two thousand, eight hundred eighty".