12687846912 has 320 divisors, whose sum is σ = 42835383360. Its totient is φ = 3673423872.

The previous prime is 12687846911. The next prime is 12687846917. The reversal of 12687846912 is 21964878621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12687846911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3053028 + ... + 3057180.

It is an arithmetic number, because the mean of its divisors is an integer number (133860573).

Almost surely, 2^12687846912 is an apocalyptic number.

12687846912 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 12687846912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21417691680).

12687846912 is an abundant number, since it is smaller than the sum of its proper divisors (30147536448).

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

12687846912 is a wasteful number, since it uses less digits than its factorization.

12687846912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4210 (or 4188 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 12687846912 in words is "twelve billion, six hundred eighty-seven million, eight hundred forty-six thousand, nine hundred twelve".