312153402320 has 20 divisors (see below), whose sum is σ = 725756660580. Its totient is φ = 124861360896.

The previous prime is 312153402299. The next prime is 312153402367. The reversal of 312153402320 is 23204351213.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 56153833024 + 255999569296 = 236968^2 + 505964^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 312153402320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1950958685 + ... + 1950958844.

It is an arithmetic number, because the mean of its divisors is an integer number (36287833029).

Almost surely, 2^312153402320 is an apocalyptic number.

It is an amenable number.

312153402320 is an abundant number, since it is smaller than the sum of its proper divisors (413603258260).

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

312153402320 is a wasteful number, since it uses less digits than its factorization.

312153402320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3901917542 (or 3901917536 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 312153402320 its reverse (23204351213), we get a palindrome (335357753533).

The spelling of 312153402320 in words is "three hundred twelve billion, one hundred fifty-three million, four hundred two thousand, three hundred twenty".