12679469712000 has 3456 divisors, whose sum is σ = 59380315038720. Its totient is φ = 2588931072000.

The previous prime is 12679469711921. The next prime is 12679469712001. The reversal of 12679469712000 is 21796497621.

12679469712000 is a `hidden beast` number, since 1 + 26 + 79 + 469 + 71 + 20 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12679469712001) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 409015151985 + ... + 409015152015.

It is an arithmetic number, because the mean of its divisors is an integer number (17181804120).

Almost surely, 2^{12679469712000} is an apocalyptic number.

12679469712000 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 12679469712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29690157519360).

12679469712000 is an abundant number, since it is smaller than the sum of its proper divisors (46700845326720).

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

12679469712000 is an frugal number, since it uses more digits than its factorization.

12679469712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 12679469712000 in words is "twelve trillion, six hundred seventy-nine billion, four hundred sixty-nine million, seven hundred twelve thousand".