312333001413412 has 144 divisors (see below), whose sum is σ = 652378069018368. Its totient is φ = 130398382033920.

The previous prime is 312333001413409. The next prime is 312333001413479. The reversal of 312333001413412 is 214314100333213.

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, 4446809158 + ... + 4446879394.

It is an arithmetic number, because the mean of its divisors is an integer number (4530403257072).

Almost surely, 2^{312333001413412} 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 312333001413412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326189034509184).

312333001413412 is an abundant number, since it is smaller than the sum of its proper divisors (340045067604956).

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

312333001413412 is a wasteful number, since it uses less digits than its factorization.

312333001413412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72546 (or 72537 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

Adding to 312333001413412 its reverse (214314100333213), we get a palindrome (526647101746625).

The spelling of 312333001413412 in words is "three hundred twelve trillion, three hundred thirty-three billion, one million, four hundred thirteen thousand, four hundred twelve".