12817440000 has 900 divisors, whose sum is σ = 50994251616. Its totient is φ = 3193344000.

The previous prime is 12817439951. The next prime is 12817440001. The reversal of 12817440000 is 4471821.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12817440001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 298079979 + ... + 298080021.

Almost surely, 2^12817440000 is an apocalyptic number.

12817440000 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 12817440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25497125808).

12817440000 is an abundant number, since it is smaller than the sum of its proper divisors (38176811616).

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

12817440000 is an frugal number, since it uses more digits than its factorization.

12817440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 12817440000 in words is "twelve billion, eight hundred seventeen million, four hundred forty thousand".