312101414112 has 96 divisors (see below), whose sum is σ = 874856263680. Its totient is φ = 97206197760.

The previous prime is 312101414099. The next prime is 312101414113. The reversal of 312101414112 is 211414101213.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×312101414112² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312101414113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1721848 + ... + 1894455.

It is an arithmetic number, because the mean of its divisors is an integer number (9113086080).

Almost surely, 2^312101414112 is an apocalyptic number.

312101414112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

312101414112 is an abundant number, since it is smaller than the sum of its proper divisors (562754849568).

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

312101414112 is a wasteful number, since it uses less digits than its factorization.

312101414112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3616376 (or 3616368 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 312101414112 its reverse (211414101213), we get a palindrome (523515515325).

The spelling of 312101414112 in words is "three hundred twelve billion, one hundred one million, four hundred fourteen thousand, one hundred twelve".