312123401322216 has 128 divisors (see below), whose sum is σ = 868567036901760. Its totient is φ = 92670315724800.

The previous prime is 312123401322157. The next prime is 312123401322241. The reversal of 312123401322216 is 612223104321213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33568921 + ... + 41846376.

It is an arithmetic number, because the mean of its divisors is an integer number (6785679975795).

Almost surely, 2^{312123401322216} is an apocalyptic number.

It is an amenable number.

312123401322216 is an abundant number, since it is smaller than the sum of its proper divisors (556443635579544).

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

312123401322216 is a wasteful number, since it uses less digits than its factorization.

312123401322216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75415635 (or 75415631 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 312123401322216 its reverse (612223104321213), we get a palindrome (924346505643429).

The spelling of 312123401322216 in words is "three hundred twelve trillion, one hundred twenty-three billion, four hundred one million, three hundred twenty-two thousand, two hundred sixteen".