204013120 has 56 divisors (see below), whose sum is σ = 490347000. Its totient is φ = 80842752.

The previous prime is 204013109. The next prime is 204013129. The reversal of 204013120 is 21310402.

It can be written as a sum of positive squares in 4 ways, for example, as 22733824 + 181279296 = 4768^2 + 13464^2 .

It is a super-3 number, since 3×204013120³ (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 204013120.

It is not an unprimeable number, because it can be changed into a prime (204013129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31956 + ... + 37804.

Almost surely, 2^204013120 is an apocalyptic number.

204013120 is a gapful number since it is divisible by the number (20) 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 204013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245173500).

204013120 is an abundant number, since it is smaller than the sum of its proper divisors (286333880).

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

204013120 is a wasteful number, since it uses less digits than its factorization.

204013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5975 (or 5965 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 204013120 is about 14283.3161415688. The cubic root of 204013120 is about 588.6891514114.

Adding to 204013120 its reverse (21310402), we get a palindrome (225323522).

The spelling of 204013120 in words is "two hundred four million, thirteen thousand, one hundred twenty".