12586667922432 has 352 divisors, whose sum is σ = 39104276601600. Its totient is φ = 3993808896000.

The previous prime is 12586667922337. The next prime is 12586667922443. The reversal of 12586667922432 is 23422976668521.

12586667922432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12586667922432.

It is a congruent number.

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, 56816682 + ... + 57037782.

Almost surely, 2^{12586667922432} is an apocalyptic number.

12586667922432 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 12586667922432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19552138300800).

12586667922432 is an abundant number, since it is smaller than the sum of its proper divisors (26517608679168).

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

12586667922432 is a wasteful number, since it uses less digits than its factorization.

12586667922432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221230 (or 221206 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 12586667922432 in words is "twelve trillion, five hundred eighty-six billion, six hundred sixty-seven million, nine hundred twenty-two thousand, four hundred thirty-two".