204431220302120 has 64 divisors (see below), whose sum is σ = 536864967636480. Its totient is φ = 68599412522496.

The previous prime is 204431220302093. The next prime is 204431220302137. The reversal of 204431220302120 is 21203022134402.

It is a super-3 number, since 3×204431220302120³ (a number of 44 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 204431220302120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7767130469 + ... + 7767156788.

It is an arithmetic number, because the mean of its divisors is an integer number (8388515119320).

Almost surely, 2^{204431220302120} is an apocalyptic number.

204431220302120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204431220302120 is an abundant number, since it is smaller than the sum of its proper divisors (332433747334360).

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

204431220302120 is a wasteful number, since it uses less digits than its factorization.

204431220302120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15534287322 (or 15534287318 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 204431220302120 its reverse (21203022134402), we get a palindrome (225634242436522).

The spelling of 204431220302120 in words is "two hundred four trillion, four hundred thirty-one billion, two hundred twenty million, three hundred two thousand, one hundred twenty".