312201320 has 32 divisors (see below), whose sum is σ = 710353800. Its totient is φ = 123475968.

The previous prime is 312201313. The next prime is 312201353. The reversal of 312201320 is 23102213.

It is a happy number.

312201320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 290429764 + 21771556 = 17042^2 + 4666^2 .

It is a junction number, because it is equal to n+sod(n) for n = 312201295 and 312201304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40289 + ... + 47408.

Almost surely, 2^312201320 is an apocalyptic number.

It is an amenable number.

312201320 is an abundant number, since it is smaller than the sum of its proper divisors (398152480).

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

312201320 is a wasteful number, since it uses less digits than its factorization.

312201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87797 (or 87793 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 312201320 is about 17669.2195639762. The cubic root of 312201320 is about 678.3881372989.

Adding to 312201320 its reverse (23102213), we get a palindrome (335303533).

The spelling of 312201320 in words is "three hundred twelve million, two hundred one thousand, three hundred twenty".