312224520 has 64 divisors (see below), whose sum is σ = 940227840. Its totient is φ = 82944000.

The previous prime is 312224501. The next prime is 312224551. The reversal of 312224520 is 25422213.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27720 + ... + 37320.

It is an arithmetic number, because the mean of its divisors is an integer number (14691060).

Almost surely, 2^312224520 is an apocalyptic number.

312224520 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 312224520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470113920).

312224520 is an abundant number, since it is smaller than the sum of its proper divisors (628003320).

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

312224520 is a wasteful number, since it uses less digits than its factorization.

312224520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9886 (or 9882 counting only the distinct ones).

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

The square root of 312224520 is about 17669.8760606859. The cubic root of 312224520 is about 678.4049407885.

Adding to 312224520 its reverse (25422213), we get a palindrome (337646733).

The spelling of 312224520 in words is "three hundred twelve million, two hundred twenty-four thousand, five hundred twenty".