312422520 has 128 divisors (see below), whose sum is σ = 967127040. Its totient is φ = 80693760.

The previous prime is 312422459. The next prime is 312422527. The reversal of 312422520 is 25224213.

312422520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312422527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 985402 + ... + 985718.

It is an arithmetic number, because the mean of its divisors is an integer number (7555680).

Almost surely, 2^312422520 is an apocalyptic number.

312422520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312422520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483563520).

312422520 is an abundant number, since it is smaller than the sum of its proper divisors (654704520).

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

312422520 is a wasteful number, since it uses less digits than its factorization.

312422520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 312422520 is about 17675.4779284748. The cubic root of 312422520 is about 678.5483160259.

Adding to 312422520 its reverse (25224213), we get a palindrome (337646733).

The spelling of 312422520 in words is "three hundred twelve million, four hundred twenty-two thousand, five hundred twenty".