204332431120 has 80 divisors (see below), whose sum is σ = 500329584000. Its totient is φ = 77392088064.

The previous prime is 204332431081. The next prime is 204332431159. The reversal of 204332431120 is 21134233402.

204332431120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (204332431081) and next prime (204332431159).

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3066316 + ... + 3132244.

It is an arithmetic number, because the mean of its divisors is an integer number (6254119800).

Almost surely, 2^204332431120 is an apocalyptic number.

204332431120 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 204332431120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250164792000).

204332431120 is an abundant number, since it is smaller than the sum of its proper divisors (295997152880).

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

204332431120 is a wasteful number, since it uses less digits than its factorization.

204332431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68000 (or 67994 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 204332431120 its reverse (21134233402), we get a palindrome (225466664522).

The spelling of 204332431120 in words is "two hundred four billion, three hundred thirty-two million, four hundred thirty-one thousand, one hundred twenty".