312001114133440 has 112 divisors (see below), whose sum is σ = 746264044850688. Its totient is φ = 124244377657344.

The previous prime is 312001114133437. The next prime is 312001114133521. The reversal of 312001114133440 is 44331411100213.

It is a junction number, because it is equal to n+sod(n) for n = 312001114133399 and 312001114133408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 456935329 + ... + 457617631.

It is an arithmetic number, because the mean of its divisors is an integer number (6663071829024).

Almost surely, 2^{312001114133440} 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 312001114133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373132022425344).

312001114133440 is an abundant number, since it is smaller than the sum of its proper divisors (434262930717248).

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

312001114133440 is a wasteful number, since it uses less digits than its factorization.

312001114133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688686 (or 688676 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 312001114133440 its reverse (44331411100213), we get a palindrome (356332525233653).

The spelling of 312001114133440 in words is "three hundred twelve trillion, one billion, one hundred fourteen million, one hundred thirty-three thousand, four hundred forty".