12446976000 has 384 divisors, whose sum is σ = 43644182400. Its totient is φ = 3140812800.

The previous prime is 12446975929. The next prime is 12446976011. The reversal of 12446976000 is 67964421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 12446976000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14591574 + ... + 14592426.

It is an arithmetic number, because the mean of its divisors is an integer number (113656725).

Almost surely, 2^12446976000 is an apocalyptic number.

12446976000 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 12446976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21822091200).

12446976000 is an abundant number, since it is smaller than the sum of its proper divisors (31197206400).

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

12446976000 is an equidigital number, since it uses as much as digits as its factorization.

12446976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 12446976000 in words is "twelve billion, four hundred forty-six million, nine hundred seventy-six thousand".