120665600 has 120 divisors (see below), whose sum is σ = 326517048. Its totient is φ = 43827200.

The previous prime is 120665579. The next prime is 120665651. The reversal of 120665600 is 6566021.

120665600 = 101³ + 102³ + ... + 155³.

It is a self number, because there is not a number n which added to its sum of digits gives 120665600.

It is a congruent number.

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, 140372 + ... + 141228.

Almost surely, 2^120665600 is an apocalyptic number.

120665600 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 120665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163258524).

120665600 is an abundant number, since it is smaller than the sum of its proper divisors (205851448).

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

120665600 is an equidigital number, since it uses as much as digits as its factorization.

120665600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 120665600 is about 10984.7894836451. The cubic root of 120665600 is about 494.1526843680.

The spelling of 120665600 in words is "one hundred twenty million, six hundred sixty-five thousand, six hundred".