12959574870000 has 400 divisors, whose sum is σ = 45838000644480. Its totient is φ = 3127977600000.

The previous prime is 12959574869981. The next prime is 12959574870013. The reversal of 12959574870000 is 7847595921.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×12959574870000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 75484255 + ... + 75655745.

Almost surely, 2^{12959574870000} is an apocalyptic number.

12959574870000 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 12959574870000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22919000322240).

12959574870000 is an abundant number, since it is smaller than the sum of its proper divisors (32878425774480).

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

12959574870000 is a wasteful number, since it uses less digits than its factorization.

12959574870000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171762 (or 171741 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 57.

The spelling of 12959574870000 in words is "twelve trillion, nine hundred fifty-nine billion, five hundred seventy-four million, eight hundred seventy thousand".