204123253200 has 120 divisors (see below), whose sum is σ = 669081381408. Its totient is φ = 53166973440.

The previous prime is 204123253181. The next prime is 204123253249. The reversal of 204123253200 is 2352321402.

204123253200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

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, 1926339 + ... + 2029538.

Almost surely, 2^204123253200 is an apocalyptic number.

204123253200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204123253200 is an abundant number, since it is smaller than the sum of its proper divisors (464958128208).

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

204123253200 is a wasteful number, since it uses less digits than its factorization.

204123253200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3955941 (or 3955930 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 204123253200 its reverse (2352321402), we get a palindrome (206475574602).

The spelling of 204123253200 in words is "two hundred four billion, one hundred twenty-three million, two hundred fifty-three thousand, two hundred".