204240232211120 has 160 divisors (see below), whose sum is σ = 558359613947520. Its totient is φ = 68018959687680.

The previous prime is 204240232211063. The next prime is 204240232211123. The reversal of 204240232211120 is 21112232042402.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 204240232211120.

It is not an unprimeable number, because it can be changed into a prime (204240232211123) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 14164607 + ... + 24680286.

It is an arithmetic number, because the mean of its divisors is an integer number (3489747587172).

Almost surely, 2^{204240232211120} is an apocalyptic number.

204240232211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204240232211120 is an abundant number, since it is smaller than the sum of its proper divisors (354119381736400).

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

204240232211120 is a wasteful number, since it uses less digits than its factorization.

204240232211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38845183 (or 38845177 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 204240232211120 its reverse (21112232042402), we get a palindrome (225352464253522).

The spelling of 204240232211120 in words is "two hundred four trillion, two hundred forty billion, two hundred thirty-two million, two hundred eleven thousand, one hundred twenty".