12999757446000 has 640 divisors, whose sum is σ = 50667452908800. Its totient is φ = 3166934630400.

The previous prime is 12999757445963. The next prime is 12999757446139. The reversal of 12999757446000 is 64475799921.

12999757446000 is a `hidden beast` number, since 12 + 9 + 9 + 9 + 7 + 5 + 7 + 4 + 4 + 600 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 67998546 + ... + 68189454.

It is an arithmetic number, because the mean of its divisors is an integer number (79167895170).

Almost surely, 2^{12999757446000} is an apocalyptic number.

12999757446000 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 12999757446000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25333726454400).

12999757446000 is an abundant number, since it is smaller than the sum of its proper divisors (37667695462800).

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

12999757446000 is a wasteful number, since it uses less digits than its factorization.

12999757446000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191051 (or 191029 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 12999757446000 in words is "twelve trillion, nine hundred ninety-nine billion, seven hundred fifty-seven million, four hundred forty-six thousand".