204001120224 has 144 divisors (see below), whose sum is σ = 638468825904. Its totient is φ = 61271347200.

The previous prime is 204001120187. The next prime is 204001120247. The reversal of 204001120224 is 422021100402.

204001120224 is a `hidden beast` number, since 20 + 400 + 1 + 1 + 20 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 204001120197 and 204001120206.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 73054 + ... + 642914.

It is an arithmetic number, because the mean of its divisors is an integer number (4433811291).

Almost surely, 2^204001120224 is an apocalyptic number.

204001120224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204001120224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319234412952).

204001120224 is an abundant number, since it is smaller than the sum of its proper divisors (434467705680).

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

204001120224 is a wasteful number, since it uses less digits than its factorization.

204001120224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570001 (or 569990 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 204001120224 its reverse (422021100402), we get a palindrome (626022220626).

It can be divided in two parts, 20400 and 1120224, that added together give a square (1140624 = 1068²).

The spelling of 204001120224 in words is "two hundred four billion, one million, one hundred twenty thousand, two hundred twenty-four".