204315120 has 60 divisors (see below), whose sum is σ = 686160696. Its totient is φ = 54483840.

The previous prime is 204315043. The next prime is 204315131. The reversal of 204315120 is 21513402.

204315120 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×204315120² = 83489336521228800, which contains 22 as substring.

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 = 204315093 and 204315102.

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, 141166 + ... + 142605.

Almost surely, 2^204315120 is an apocalyptic number.

204315120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204315120 is an abundant number, since it is smaller than the sum of its proper divisors (481845576).

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

204315120 is a wasteful number, since it uses less digits than its factorization.

204315120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283790 (or 283781 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 204315120 is about 14293.8840068051. The cubic root of 204315120 is about 588.9794864503.

Adding to 204315120 its reverse (21513402), we get a palindrome (225828522).

The spelling of 204315120 in words is "two hundred four million, three hundred fifteen thousand, one hundred twenty".