12457646112 has 96 divisors (see below), whose sum is σ = 33796030464. Its totient is φ = 4013856000.

The previous prime is 12457646111. The next prime is 12457646137. The reversal of 12457646112 is 21164675421.

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

It is not an unprimeable number, because it can be changed into a prime (12457646111) 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, 3232987 + ... + 3236837.

It is an arithmetic number, because the mean of its divisors is an integer number (352041984).

Almost surely, 2^12457646112 is an apocalyptic number.

12457646112 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 12457646112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16898015232).

12457646112 is an abundant number, since it is smaller than the sum of its proper divisors (21338384352).

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

12457646112 is a wasteful number, since it uses less digits than its factorization.

12457646112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4982 (or 4974 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The spelling of 12457646112 in words is "twelve billion, four hundred fifty-seven million, six hundred forty-six thousand, one hundred twelve".