12988416000 has 512 divisors, whose sum is σ = 49726909440. Its totient is φ = 2949120000.

The previous prime is 12988415971. The next prime is 12988416037. The reversal of 12988416000 is 61488921.

It is a tau number, because it is divible by the number of its divisors (512).

It is a self number, because there is not a number n which added to its sum of digits gives 12988416000.

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, 86015925 + ... + 86016075.

It is an arithmetic number, because the mean of its divisors is an integer number (97122870).

Almost surely, 2^12988416000 is an apocalyptic number.

12988416000 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 12988416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24863454720).

12988416000 is an abundant number, since it is smaller than the sum of its proper divisors (36738493440).

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

12988416000 is an frugal number, since it uses more digits than its factorization.

12988416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The spelling of 12988416000 in words is "twelve billion, nine hundred eighty-eight million, four hundred sixteen thousand".