312012010112 has 128 divisors (see below), whose sum is σ = 701512980480. Its totient is φ = 136945843200.

The previous prime is 312012010049. The next prime is 312012010183. The reversal of 312012010112 is 211010210213.

It is a tau number, because it is divible by the number of its divisors (128).

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, 20375963 + ... + 20391269.

It is an arithmetic number, because the mean of its divisors is an integer number (5480570160).

Almost surely, 2^312012010112 is an apocalyptic number.

312012010112 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 312012010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350756490240).

312012010112 is an abundant number, since it is smaller than the sum of its proper divisors (389500970368).

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

312012010112 is a wasteful number, since it uses less digits than its factorization.

312012010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15830 (or 15818 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 312012010112 its reverse (211010210213), we get a palindrome (523022220325).

The spelling of 312012010112 in words is "three hundred twelve billion, twelve million, ten thousand, one hundred twelve".