312142431322112 has 68 divisors (see below), whose sum is σ = 661002460895556. Its totient is φ = 146890555392000.

The previous prime is 312142431322091. The next prime is 312142431322171. The reversal of 312142431322112 is 211223134241213.

It can be written as a sum of positive squares in 2 ways, for example, as 254699128815616 + 57443302506496 = 15959296^2 + 7579136^2 .

It is a tau number, because it is divible by the number of its divisors (68).

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 138971639 + ... + 141199862.

Almost surely, 2^{312142431322112} is an apocalyptic number.

312142431322112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

312142431322112 is an abundant number, since it is smaller than the sum of its proper divisors (348860029573444).

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

312142431322112 is an frugal number, since it uses more digits than its factorization.

312142431322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280171550 (or 280171520 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

Adding to 312142431322112 its reverse (211223134241213), we get a palindrome (523365565563325).

The spelling of 312142431322112 in words is "three hundred twelve trillion, one hundred forty-two billion, four hundred thirty-one million, three hundred twenty-two thousand, one hundred twelve".