312442522320 has 640 divisors, whose sum is σ = 1079127360000. Its totient is φ = 74472652800.

The previous prime is 312442522319. The next prime is 312442522321. The reversal of 312442522320 is 23225244213.

It is an interprime number because it is at equal distance from previous prime (312442522319) and next prime (312442522321).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312442522321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1990079682 + ... + 1990079838.

It is an arithmetic number, because the mean of its divisors is an integer number (1686136500).

Almost surely, 2^312442522320 is an apocalyptic number.

312442522320 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 312442522320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539563680000).

312442522320 is an abundant number, since it is smaller than the sum of its proper divisors (766684837680).

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

312442522320 is a wasteful number, since it uses less digits than its factorization.

312442522320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 312442522320 its reverse (23225244213), we get a palindrome (335667766533).

The spelling of 312442522320 in words is "three hundred twelve billion, four hundred forty-two million, five hundred twenty-two thousand, three hundred twenty".