204123013000 has 128 divisors (see below), whose sum is σ = 486569397600. Its totient is φ = 80137728000.

The previous prime is 204123012991. The next prime is 204123013019. The reversal of 204123013000 is 310321402.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 77475204 + 204045537796 = 8802^2 + 451714^2 .

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 31 ways as a sum of consecutive naturals, for example, 12184630 + ... + 12201370.

Almost surely, 2^204123013000 is an apocalyptic number.

204123013000 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 204123013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243284698800).

204123013000 is an abundant number, since it is smaller than the sum of its proper divisors (282446384600).

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

204123013000 is a wasteful number, since it uses less digits than its factorization.

204123013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16988 (or 16974 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 204123013000 its reverse (310321402), we get a palindrome (204433334402).

The spelling of 204123013000 in words is "two hundred four billion, one hundred twenty-three million, thirteen thousand".