204014242120200 has 96 divisors (see below), whose sum is σ = 632479949124000. Its totient is φ = 54400718453760.

The previous prime is 204014242120181. The next prime is 204014242120201. The reversal of 204014242120200 is 2021242410402.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (204014242120201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 995376 + ... + 20224224.

It is an arithmetic number, because the mean of its divisors is an integer number (6588332803375).

Almost surely, 2^{204014242120200} is an apocalyptic number.

204014242120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204014242120200 is an abundant number, since it is smaller than the sum of its proper divisors (428465707003800).

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

204014242120200 is a wasteful number, since it uses less digits than its factorization.

204014242120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19246551 (or 19246542 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 204014242120200 its reverse (2021242410402), we get a palindrome (206035484530602).

The spelling of 204014242120200 in words is "two hundred four trillion, fourteen billion, two hundred forty-two million, one hundred twenty thousand, two hundred".