12839684412672 has 864 divisors, whose sum is σ = 42704703000960. Its totient is φ = 3782405652480.

The previous prime is 12839684412623. The next prime is 12839684412721. The reversal of 12839684412672 is 27621448693821.

12839684412672 is a `hidden beast` number, since 1 + 2 + 83 + 9 + 6 + 84 + 412 + 67 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (12839684412623) and next prime (12839684412721).

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 9899524728 + ... + 9899526024.

Almost surely, 2^{12839684412672} is an apocalyptic number.

12839684412672 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 12839684412672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21352351500480).

12839684412672 is an abundant number, since it is smaller than the sum of its proper divisors (29865018588288).

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

12839684412672 is a wasteful number, since it uses less digits than its factorization.

12839684412672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1475 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 12839684412672 in words is "twelve trillion, eight hundred thirty-nine billion, six hundred eighty-four million, four hundred twelve thousand, six hundred seventy-two".