312230044672 has 528 divisors, whose sum is σ = 851396395248. Its totient is φ = 112963092480.

The previous prime is 312230044667. The next prime is 312230044739. The reversal of 312230044672 is 276440032213.

It can be written as a sum of positive squares in 8 ways, for example, as 10802692096 + 301427352576 = 103936^2 + 549024^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

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 47 ways as a sum of consecutive naturals, for example, 410288772 + ... + 410289532.

Almost surely, 2^312230044672 is an apocalyptic number.

312230044672 is a gapful number since it is divisible by the number (32) 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 312230044672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425698197624).

312230044672 is an abundant number, since it is smaller than the sum of its proper divisors (539166350576).

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

312230044672 is a wasteful number, since it uses less digits than its factorization.

312230044672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 34.

Adding to 312230044672 its reverse (276440032213), we get a palindrome (588670076885).

The spelling of 312230044672 in words is "three hundred twelve billion, two hundred thirty million, forty-four thousand, six hundred seventy-two".