204122515947920 has 40 divisors (see below), whose sum is σ = 490949844397560. Its totient is φ = 78833523399680.

The previous prime is 204122515947919. The next prime is 204122515947953. The reversal of 204122515947920 is 29749515221402.

It can be written as a sum of positive squares in 4 ways, for example, as 2679677328784 + 201442838619136 = 1636972^2 + 14193056^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 43991919221 + ... + 43991923860.

It is an arithmetic number, because the mean of its divisors is an integer number (12273746109939).

Almost surely, 2^{204122515947920} is an apocalyptic number.

204122515947920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204122515947920 is an abundant number, since it is smaller than the sum of its proper divisors (286827328449640).

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

204122515947920 is a wasteful number, since it uses less digits than its factorization.

204122515947920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87983843123 (or 87983843117 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 53.

The spelling of 204122515947920 in words is "two hundred four trillion, one hundred twenty-two billion, five hundred fifteen million, nine hundred forty-seven thousand, nine hundred twenty".