312211221312 has 28 divisors (see below), whose sum is σ = 826058856896. Its totient is φ = 104070407040.

The previous prime is 312211221299. The next prime is 312211221347. The reversal of 312211221312 is 213122112213.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 813049864 + ... + 813050247.

It is an arithmetic number, because the mean of its divisors is an integer number (29502102032).

Almost surely, 2^312211221312 is an apocalyptic number.

312211221312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

312211221312 is an abundant number, since it is smaller than the sum of its proper divisors (513847635584).

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

312211221312 is a wasteful number, since it uses less digits than its factorization.

312211221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626100126 (or 1626100116 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

Adding to 312211221312 its reverse (213122112213), we get a palindrome (525333333525).

The spelling of 312211221312 in words is "three hundred twelve billion, two hundred eleven million, two hundred twenty-one thousand, three hundred twelve".