312122304 has 168 divisors, whose sum is σ = 978369392. Its totient is φ = 94556160.

The previous prime is 312122287. The next prime is 312122311. The reversal of 312122304 is 403221213.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 546339 + ... + 546909.

Almost surely, 2^312122304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312122304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489184696).

312122304 is an abundant number, since it is smaller than the sum of its proper divisors (666247088).

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

312122304 is a wasteful number, since it uses less digits than its factorization.

312122304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 312122304 is about 17666.9834437009. The cubic root of 312122304 is about 678.3309006842.

Adding to 312122304 its reverse (403221213), we get a palindrome (715343517).

It can be divided in two parts, 3121 and 22304, that added together give a triangular number (25425 = T₂₂₅).

The spelling of 312122304 in words is "three hundred twelve million, one hundred twenty-two thousand, three hundred four".