312123122000 has 80 divisors (see below), whose sum is σ = 755136525312. Its totient is φ = 124779305600.

The previous prime is 312123121987. The next prime is 312123122053. The reversal of 312123122000 is 221321213.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 312123122000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3603197 + ... + 3688803.

Almost surely, 2^312123122000 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 312123122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377568262656).

312123122000 is an abundant number, since it is smaller than the sum of its proper divisors (443013403312).

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

312123122000 is a wasteful number, since it uses less digits than its factorization.

312123122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87453 (or 87437 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 312123122000 its reverse (221321213), we get a palindrome (312344443213).

The spelling of 312123122000 in words is "three hundred twelve billion, one hundred twenty-three million, one hundred twenty-two thousand".