312122034112 has 112 divisors (see below), whose sum is σ = 720278000640. Its totient is φ = 131420390400.

The previous prime is 312122034089. The next prime is 312122034143. The reversal of 312122034112 is 211430221213.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70597662 + ... + 70602082.

Almost surely, 2^312122034112 is an apocalyptic number.

312122034112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312122034112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360139000320).

312122034112 is an abundant number, since it is smaller than the sum of its proper divisors (408155966528).

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

312122034112 is a wasteful number, since it uses less digits than its factorization.

312122034112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7170 (or 7160 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 312122034112 its reverse (211430221213), we get a palindrome (523552255325).

The spelling of 312122034112 in words is "three hundred twelve billion, one hundred twenty-two million, thirty-four thousand, one hundred twelve".