12694001338872 has 320 divisors, whose sum is σ = 41490703457280. Its totient is φ = 3550709530368.

The previous prime is 12694001338859. The next prime is 12694001338897. The reversal of 12694001338872 is 27883310049621.

It is a happy number.

12694001338872 is a `hidden beast` number, since 1 + 2 + 69 + 400 + 1 + 33 + 88 + 72 = 666.

It is a super-2 number, since 2×12694001338872² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 111251883 + ... + 111365925.

It is an arithmetic number, because the mean of its divisors is an integer number (129658448304).

Almost surely, 2^{12694001338872} is an apocalyptic number.

12694001338872 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 12694001338872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20745351728640).

12694001338872 is an abundant number, since it is smaller than the sum of its proper divisors (28796702118408).

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

12694001338872 is a wasteful number, since it uses less digits than its factorization.

12694001338872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114584 (or 114571 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 12694001338872 in words is "twelve trillion, six hundred ninety-four billion, one million, three hundred thirty-eight thousand, eight hundred seventy-two".