312210320 has 40 divisors (see below), whose sum is σ = 727646136. Its totient is φ = 124581888.

The previous prime is 312210313. The next prime is 312210373. The reversal of 312210320 is 23012213.

It is a happy number.

312210320 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 2027776 + 310182544 = 1424^2 + 17612^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 312210295 and 312210304.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30134 + ... + 39146.

Almost surely, 2^312210320 is an apocalyptic number.

It is an amenable number.

312210320 is an abundant number, since it is smaller than the sum of its proper divisors (415435816).

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

312210320 is a wasteful number, since it uses less digits than its factorization.

312210320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9459 (or 9453 counting only the distinct ones).

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

The square root of 312210320 is about 17669.4742423197. The cubic root of 312210320 is about 678.3946559928.

Adding to 312210320 its reverse (23012213), we get a palindrome (335222533).

The spelling of 312210320 in words is "three hundred twelve million, two hundred ten thousand, three hundred twenty".