12984399360 has 320 divisors, whose sum is σ = 48554035200. Its totient is φ = 3279937536.

The previous prime is 12984399359. The next prime is 12984399371. The reversal of 12984399360 is 6399348921.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12984399297 and 12984399306.

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, 1308337 + ... + 1318223.

It is an arithmetic number, because the mean of its divisors is an integer number (151731360).

Almost surely, 2^12984399360 is an apocalyptic number.

12984399360 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 12984399360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24277017600).

12984399360 is an abundant number, since it is smaller than the sum of its proper divisors (35569635840).

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

12984399360 is an equidigital number, since it uses as much as digits as its factorization.

12984399360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9938 (or 9916 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 12984399360 in words is "twelve billion, nine hundred eighty-four million, three hundred ninety-nine thousand, three hundred sixty".