312242311344 has 120 divisors (see below), whose sum is σ = 837049028608. Its totient is φ = 100193506560.

The previous prime is 312242311331. The next prime is 312242311361. The reversal of 312242311344 is 443113242213.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57745089 + ... + 57750495.

Almost surely, 2^312242311344 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 312242311344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418524514304).

312242311344 is an abundant number, since it is smaller than the sum of its proper divisors (524806717264).

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

312242311344 is a wasteful number, since it uses less digits than its factorization.

312242311344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5843 (or 5640 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

Adding to 312242311344 its reverse (443113242213), we get a palindrome (755355553557).

The spelling of 312242311344 in words is "three hundred twelve billion, two hundred forty-two million, three hundred eleven thousand, three hundred forty-four".