204123200 has 84 divisors (see below), whose sum is σ = 507164340. Its totient is φ = 80855040.

The previous prime is 204123197. The next prime is 204123203. The reversal of 204123200 is 2321402.

It is an interprime number because it is at equal distance from previous prime (204123197) and next prime (204123203).

It can be written as a sum of positive squares in 6 ways, for example, as 87310336 + 116812864 = 9344^2 + 10808^2 .

It is not an unprimeable number, because it can be changed into a prime (204123203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 180236 + ... + 181364.

Almost surely, 2^204123200 is an apocalyptic number.

204123200 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 204123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253582170).

204123200 is an abundant number, since it is smaller than the sum of its proper divisors (303041140).

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

204123200 is a wasteful number, since it uses less digits than its factorization.

204123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 204123200 is about 14287.1690687834. The cubic root of 204123200 is about 588.7950126586.

Adding to 204123200 its reverse (2321402), we get a palindrome (206444602).

The spelling of 204123200 in words is "two hundred four million, one hundred twenty-three thousand, two hundred".