12682634720 has 144 divisors (see below), whose sum is σ = 35297519040. Its totient is φ = 4293080064.

The previous prime is 12682634711. The next prime is 12682634743. The reversal of 12682634720 is 2743628621.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 609122 + ... + 629598.

It is an arithmetic number, because the mean of its divisors is an integer number (245121660).

Almost surely, 2^12682634720 is an apocalyptic number.

12682634720 is a gapful number since it is divisible by the number (10) 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 12682634720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17648759520).

12682634720 is an abundant number, since it is smaller than the sum of its proper divisors (22614884320).

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

12682634720 is a wasteful number, since it uses less digits than its factorization.

12682634720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20585 (or 20570 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The spelling of 12682634720 in words is "twelve billion, six hundred eighty-two million, six hundred thirty-four thousand, seven hundred twenty".