204201312 has 48 divisors (see below), whose sum is σ = 612605952. Its totient is φ = 58343040.

The previous prime is 204201307. The next prime is 204201313. The reversal of 204201312 is 213102402.

204201312 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 (48).

It is a junction number, because it is equal to n+sod(n) for n = 204201291 and 204201300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204201313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151264 + ... + 152607.

It is an arithmetic number, because the mean of its divisors is an integer number (12762624).

Almost surely, 2^204201312 is an apocalyptic number.

It is an amenable number.

204201312 is an abundant number, since it is smaller than the sum of its proper divisors (408404640).

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

204201312 is a wasteful number, since it uses less digits than its factorization.

204201312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303891 (or 303883 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 204201312 is about 14289.9024489323. The cubic root of 204201312 is about 588.8701079780.

Adding to 204201312 its reverse (213102402), we get a palindrome (417303714).

The spelling of 204201312 in words is "two hundred four million, two hundred one thousand, three hundred twelve".