312343031400000 has 336 divisors, whose sum is σ = 1077854022177408. Its totient is φ = 79670103040000.

The previous prime is 312343031399983. The next prime is 312343031400019. The reversal of 312343031400000 is 4130343213.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2483224 + ... + 25116776.

It is an arithmetic number, because the mean of its divisors is an integer number (3207898875528).

Almost surely, 2^{312343031400000} is an apocalyptic number.

312343031400000 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 312343031400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538927011088704).

312343031400000 is an abundant number, since it is smaller than the sum of its proper divisors (765510990777408).

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

312343031400000 is an equidigital number, since it uses as much as digits as its factorization.

312343031400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22633616 (or 22633586 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 312343031400000 its reverse (4130343213), we get a palindrome (312347161743213).

The spelling of 312343031400000 in words is "three hundred twelve trillion, three hundred forty-three billion, thirty-one million, four hundred thousand".