312022123112 has 128 divisors (see below), whose sum is σ = 717766272000. Its totient is φ = 124116295680.

The previous prime is 312022123093. The next prime is 312022123121. The reversal of 312022123112 is 211321220213.

It is a super-3 number, since 3×312022123112³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 31 ways as a sum of consecutive naturals, for example, 80395412 + ... + 80399292.

It is an arithmetic number, because the mean of its divisors is an integer number (5607549000).

Almost surely, 2^312022123112 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 312022123112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358883136000).

312022123112 is an abundant number, since it is smaller than the sum of its proper divisors (405744148888).

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

312022123112 is a wasteful number, since it uses less digits than its factorization.

312022123112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5059 (or 5055 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 312022123112 its reverse (211321220213), we get a palindrome (523343343325).

The spelling of 312022123112 in words is "three hundred twelve billion, twenty-two million, one hundred twenty-three thousand, one hundred twelve".