204512567120 has 20 divisors (see below), whose sum is σ = 475491718740. Its totient is φ = 81805026816.

The previous prime is 204512567117. The next prime is 204512567141. The reversal of 204512567120 is 21765215402.

It can be written as a sum of positive squares in 2 ways, for example, as 56838374464 + 147674192656 = 238408^2 + 384284^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×204512567120² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1278203465 + ... + 1278203624.

It is an arithmetic number, because the mean of its divisors is an integer number (23774585937).

Almost surely, 2^204512567120 is an apocalyptic number.

204512567120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204512567120 is an abundant number, since it is smaller than the sum of its proper divisors (270979151620).

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

204512567120 is a wasteful number, since it uses less digits than its factorization.

204512567120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2556407102 (or 2556407096 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The spelling of 204512567120 in words is "two hundred four billion, five hundred twelve million, five hundred sixty-seven thousand, one hundred twenty".