12709368000 has 672 divisors, whose sum is σ = 52615600128. Its totient is φ = 2868480000.

The previous prime is 12709367999. The next prime is 12709368013. The reversal of 12709368000 is 86390721.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76103917 + ... + 76104083.

It is an arithmetic number, because the mean of its divisors is an integer number (78297024).

Almost surely, 2^12709368000 is an apocalyptic number.

12709368000 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 12709368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26307800064).

12709368000 is an abundant number, since it is smaller than the sum of its proper divisors (39906232128).

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

12709368000 is a wasteful number, since it uses less digits than its factorization.

12709368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 12709368000 in words is "twelve billion, seven hundred nine million, three hundred sixty-eight thousand".