204052120 has 64 divisors (see below), whose sum is σ = 484056000. Its totient is φ = 77296128.

The previous prime is 204052109. The next prime is 204052129. The reversal of 204052120 is 21250402.

It is a junction number, because it is equal to n+sod(n) for n = 204052094 and 204052103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204052129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59821 + ... + 63139.

It is an arithmetic number, because the mean of its divisors is an integer number (7563375).

Almost surely, 2^204052120 is an apocalyptic number.

204052120 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 204052120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242028000).

204052120 is an abundant number, since it is smaller than the sum of its proper divisors (280003880).

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

204052120 is a wasteful number, since it uses less digits than its factorization.

204052120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3412 (or 3408 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 204052120 is about 14284.6813055105. The cubic root of 204052120 is about 588.7266611136.

The spelling of 204052120 in words is "two hundred four million, fifty-two thousand, one hundred twenty".