120553200 has 90 divisors (see below), whose sum is σ = 418365584. Its totient is φ = 32146560.

The previous prime is 120553133. The next prime is 120553201. The reversal of 120553200 is 2355021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120553201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13144 + ... + 20343.

Almost surely, 2^120553200 is an apocalyptic number.

120553200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120553200 is an abundant number, since it is smaller than the sum of its proper divisors (297812384).

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

120553200 is a wasteful number, since it uses less digits than its factorization.

120553200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33511 (or 33497 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 120553200 is about 10979.6721262522. The cubic root of 120553200 is about 493.9992023022. Note that the first 3 decimals are identical.

The spelling of 120553200 in words is "one hundred twenty million, five hundred fifty-three thousand, two hundred".