312343112433312 has 96 divisors (see below), whose sum is σ = 921236708246400. Its totient is φ = 102944546394624.

The previous prime is 312343112433293. The next prime is 312343112433323. The reversal of 312343112433312 is 213334211343213.

312343112433312 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 4 + 311 + 2 + 4 + 3 + 331 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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, 2030868228 + ... + 2031022019.

It is an arithmetic number, because the mean of its divisors is an integer number (9596215710900).

Almost surely, 2^{312343112433312} is an apocalyptic number.

312343112433312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

312343112433312 is an abundant number, since it is smaller than the sum of its proper divisors (608893595813088).

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

312343112433312 is a wasteful number, since it uses less digits than its factorization.

312343112433312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4061890355 (or 4061890341 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

Adding to 312343112433312 its reverse (213334211343213), we get a palindrome (525677323776525).

The spelling of 312343112433312 in words is "three hundred twelve trillion, three hundred forty-three billion, one hundred twelve million, four hundred thirty-three thousand, three hundred twelve".