120645200 has 60 divisors (see below), whose sum is σ = 312159708. Its totient is φ = 44544000.

The previous prime is 120645169. The next prime is 120645221. The reversal of 120645200 is 2546021.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 698896 + 119946304 = 836^2 + 10952^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 6401 + ... + 16800.

Almost surely, 2^120645200 is an apocalyptic number.

120645200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120645200 is an abundant number, since it is smaller than the sum of its proper divisors (191514508).

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

120645200 is a wasteful number, since it uses less digits than its factorization.

120645200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23232 (or 23221 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 120645200 is about 10983.8608876843. The cubic root of 120645200 is about 494.1248352740.

The spelling of 120645200 in words is "one hundred twenty million, six hundred forty-five thousand, two hundred".