312002112312 has 144 divisors (see below), whose sum is σ = 954709615080. Its totient is φ = 91285689600.

The previous prime is 312002112281. The next prime is 312002112337. The reversal of 312002112312 is 213211200213.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 431862 + ... + 900282.

Almost surely, 2^312002112312 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 312002112312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477354807540).

312002112312 is an abundant number, since it is smaller than the sum of its proper divisors (642707502768).

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

312002112312 is a wasteful number, since it uses less digits than its factorization.

312002112312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468502 (or 468466 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 312002112312 its reverse (213211200213), we get a palindrome (525213312525).

The spelling of 312002112312 in words is "three hundred twelve billion, two million, one hundred twelve thousand, three hundred twelve".