204120120100224 has 64 divisors (see below), whose sum is σ = 542338005450240. Its totient is φ = 68021977422336.

The previous prime is 204120120100213. The next prime is 204120120100241. The reversal of 204120120100224 is 422001021021402.

204120120100224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 204120120100224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69108664 + ... + 72001719.

It is an arithmetic number, because the mean of its divisors is an integer number (8474031335160).

Almost surely, 2^{204120120100224} is an apocalyptic number.

204120120100224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

204120120100224 is an abundant number, since it is smaller than the sum of its proper divisors (338217885350016).

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

204120120100224 is a wasteful number, since it uses less digits than its factorization.

204120120100224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141114167 (or 141114155 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 204120120100224 its reverse (422001021021402), we get a palindrome (626121141121626).

The spelling of 204120120100224 in words is "two hundred four trillion, one hundred twenty billion, one hundred twenty million, one hundred thousand, two hundred twenty-four".