312141130000000 has 256 divisors, whose sum is σ = 888346007078400. Its totient is φ = 107019792000000.

The previous prime is 312141129999997. The next prime is 312141130000013. The reversal of 312141130000000 is 31141213.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67770421 + ... + 72229579.

It is an arithmetic number, because the mean of its divisors is an integer number (3470101590150).

Almost surely, 2^{312141130000000} 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 312141130000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444173003539200).

312141130000000 is an abundant number, since it is smaller than the sum of its proper divisors (576204877078400).

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

312141130000000 is an frugal number, since it uses more digits than its factorization.

312141130000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4459215 (or 4459173 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 312141130000000 its reverse (31141213), we get a palindrome (312141161141213).

The spelling of 312141130000000 in words is "three hundred twelve trillion, one hundred forty-one billion, one hundred thirty million", and thus it is an aban number.