312101130112 has 64 divisors (see below), whose sum is σ = 625924530000. Its totient is φ = 155008917504.

The previous prime is 312101130101. The next prime is 312101130127. The reversal of 312101130112 is 211031101213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16204264 + ... + 16223512.

Almost surely, 2^312101130112 is an apocalyptic number.

312101130112 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 312101130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312962265000).

312101130112 is an abundant number, since it is smaller than the sum of its proper divisors (313823399888).

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

312101130112 is a wasteful number, since it uses less digits than its factorization.

312101130112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20103 (or 20091 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 312101130112 its reverse (211031101213), we get a palindrome (523132231325).

The spelling of 312101130112 in words is "three hundred twelve billion, one hundred one million, one hundred thirty thousand, one hundred twelve".