12346271112 has 128 divisors (see below), whose sum is σ = 36160819200. Its totient is φ = 3439231488.

The previous prime is 12346271099. The next prime is 12346271143. The reversal of 12346271112 is 21117264321.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12346271112.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5192868 + ... + 5195244.

It is an arithmetic number, because the mean of its divisors is an integer number (282506400).

Almost surely, 2^12346271112 is an apocalyptic number.

12346271112 is a gapful number since it is divisible by the number (12) 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 12346271112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18080409600).

12346271112 is an abundant number, since it is smaller than the sum of its proper divisors (23814548088).

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

12346271112 is a wasteful number, since it uses less digits than its factorization.

12346271112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3155 (or 3151 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The spelling of 12346271112 in words is "twelve billion, three hundred forty-six million, two hundred seventy-one thousand, one hundred twelve".