312144411320 has 512 divisors, whose sum is σ = 889375334400. Its totient is φ = 96199114752.

The previous prime is 312144411307. The next prime is 312144411347. The reversal of 312144411320 is 23114441213.

It is a self number, because there is not a number n which added to its sum of digits gives 312144411320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2278426292 + ... + 2278426428.

It is an arithmetic number, because the mean of its divisors is an integer number (1737061200).

Almost surely, 2^312144411320 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 312144411320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444687667200).

312144411320 is an abundant number, since it is smaller than the sum of its proper divisors (577230923080).

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

312144411320 is a wasteful number, since it uses less digits than its factorization.

312144411320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 312144411320 its reverse (23114441213), we get a palindrome (335258852533).

The spelling of 312144411320 in words is "three hundred twelve billion, one hundred forty-four million, four hundred eleven thousand, three hundred twenty".