12519985968000 has 3584 divisors, whose sum is σ = 57100810291200. Its totient is φ = 2667080908800.

The previous prime is 12519985967999. The next prime is 12519985968019. The reversal of 12519985968000 is 86958991521.

12519985968000 is a `hidden beast` number, since 1 + 2 + 519 + 9 + 8 + 59 + 68 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 110796335944 + ... + 110796336056.

Almost surely, 2^{12519985968000} is an apocalyptic number.

12519985968000 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 12519985968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28550405145600).

12519985968000 is an abundant number, since it is smaller than the sum of its proper divisors (44580824323200).

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

12519985968000 is an equidigital number, since it uses as much as digits as its factorization.

12519985968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 63.

The spelling of 12519985968000 in words is "twelve trillion, five hundred nineteen billion, nine hundred eighty-five million, nine hundred sixty-eight thousand".