12982320000 has 960 divisors, whose sum is σ = 53644390800. Its totient is φ = 2985984000.

The previous prime is 12982319989. The next prime is 12982320007. The reversal of 12982320000 is 2328921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12982320007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 177839964 + ... + 177840036.

Almost surely, 2^12982320000 is an apocalyptic number.

12982320000 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 12982320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26822195400).

12982320000 is an abundant number, since it is smaller than the sum of its proper divisors (40662070800).

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

12982320000 is a wasteful number, since it uses less digits than its factorization.

12982320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 12982320000 its reverse (2328921), we get a palindrome (12984648921).

The spelling of 12982320000 in words is "twelve billion, nine hundred eighty-two million, three hundred twenty thousand".