204213104000 has 128 divisors (see below), whose sum is σ = 514154908800. Its totient is φ = 80650752000.

The previous prime is 204213103987. The next prime is 204213104023. The reversal of 204213104000 is 401312402.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 204213104000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1183220 + ... + 1344780.

It is an arithmetic number, because the mean of its divisors is an integer number (4016835225).

Almost surely, 2^204213104000 is an apocalyptic number.

204213104000 is a gapful number since it is divisible by the number (20) 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 204213104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257077454400).

204213104000 is an abundant number, since it is smaller than the sum of its proper divisors (309941804800).

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

204213104000 is an equidigital number, since it uses as much as digits as its factorization.

204213104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161669 (or 161647 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 204213104000 its reverse (401312402), we get a palindrome (204614416402).

The spelling of 204213104000 in words is "two hundred four billion, two hundred thirteen million, one hundred four thousand".