204242011011312 has 80 divisors (see below), whose sum is σ = 528144837712800. Its totient is φ = 68013623808000.

The previous prime is 204242011011251. The next prime is 204242011011319. The reversal of 204242011011312 is 213110110242402.

It is a super-2 number, since 2×204242011011312² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204242011011319) 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 15 ways as a sum of consecutive naturals, for example, 2909353812 + ... + 2909424012.

It is an arithmetic number, because the mean of its divisors is an integer number (6601810471410).

Almost surely, 2^{204242011011312} is an apocalyptic number.

It is an amenable number.

204242011011312 is an abundant number, since it is smaller than the sum of its proper divisors (323902826701488).

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

204242011011312 is a wasteful number, since it uses less digits than its factorization.

204242011011312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129042 (or 129036 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 204242011011312 its reverse (213110110242402), we get a palindrome (417352121253714).

The spelling of 204242011011312 in words is "two hundred four trillion, two hundred forty-two billion, eleven million, eleven thousand, three hundred twelve".