312915729126 has 192 divisors, whose sum is σ = 848361282048. Its totient is φ = 74872512000.

The previous prime is 312915729121. The next prime is 312915729131. The reversal of 312915729126 is 621927519213.

It is an interprime number because it is at equal distance from previous prime (312915729121) and next prime (312915729131).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312915729121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34415841 + ... + 34424931.

It is an arithmetic number, because the mean of its divisors is an integer number (4418548344).

Almost surely, 2^312915729126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312915729126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424180641024).

312915729126 is an abundant number, since it is smaller than the sum of its proper divisors (535445552922).

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

312915729126 is a wasteful number, since it uses less digits than its factorization.

312915729126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9659 (or 9648 counting only the distinct ones).

The product of its digits is 408240, while the sum is 48.

The spelling of 312915729126 in words is "three hundred twelve billion, nine hundred fifteen million, seven hundred twenty-nine thousand, one hundred twenty-six".