204012210402 has 288 divisors, whose sum is σ = 635889683520. Its totient is φ = 46339050240.

The previous prime is 204012210361. The next prime is 204012210407.

204012210402 is a `hidden beast` number, since 2 + 0 + 40 + 1 + 221 + 0 + 402 = 666.

204012210402 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (204012210407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2353828 + ... + 2438960.

It is an arithmetic number, because the mean of its divisors is an integer number (2207950290).

Almost surely, 2^204012210402 is an apocalyptic number.

204012210402 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 204012210402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317944841760).

204012210402 is an abundant number, since it is smaller than the sum of its proper divisors (431877473118).

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

204012210402 is a wasteful number, since it uses less digits than its factorization.

204012210402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85198 (or 85188 counting only the distinct ones).

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

It can be divided in two parts, 204012 and 210402, that added together give a palindrome (414414).

The spelling of 204012210402 in words is "two hundred four billion, twelve million, two hundred ten thousand, four hundred two".