204252120 has 48 divisors (see below), whose sum is σ = 663820560. Its totient is φ = 54467136.

The previous prime is 204252101. The next prime is 204252131. The reversal of 204252120 is 21252402.

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

It is a junction number, because it is equal to n+sod(n) for n = 204252093 and 204252102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 283324 + ... + 284043.

It is an arithmetic number, because the mean of its divisors is an integer number (13829595).

Almost surely, 2^204252120 is an apocalyptic number.

204252120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204252120 is an abundant number, since it is smaller than the sum of its proper divisors (459568440).

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

204252120 is a wasteful number, since it uses less digits than its factorization.

204252120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567384 (or 567377 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 204252120 is about 14291.6800971754. The cubic root of 204252120 is about 588.9189434973.

The spelling of 204252120 in words is "two hundred four million, two hundred fifty-two thousand, one hundred twenty".