120280900 has 36 divisors (see below), whose sum is σ = 263615940. Its totient is φ = 47632000.

The previous prime is 120280889. The next prime is 120280981. The reversal of 120280900 is 9082021.

It can be written as a sum of positive squares in 6 ways, for example, as 553536 + 119727364 = 744^2 + 10942^2 .

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, 4146 + ... + 16054.

It is an arithmetic number, because the mean of its divisors is an integer number (7322665).

Almost surely, 2^120280900 is an apocalyptic number.

120280900 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 120280900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131807970).

120280900 is an abundant number, since it is smaller than the sum of its proper divisors (143335040).

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

120280900 is a wasteful number, since it uses less digits than its factorization.

120280900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12024 (or 12017 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 120280900 is about 10967.2649279572. The cubic root of 120280900 is about 493.6269810489.

The spelling of 120280900 in words is "one hundred twenty million, two hundred eighty thousand, nine hundred".