12717360000 has 480 divisors, whose sum is σ = 48466360800. Its totient is φ = 3188736000.

The previous prime is 12717359999. The next prime is 12717360013. The reversal of 12717360000 is 6371721.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12239481 + ... + 12240519.

It is an arithmetic number, because the mean of its divisors is an integer number (100971585).

Almost surely, 2^12717360000 is an apocalyptic number.

12717360000 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 12717360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24233180400).

12717360000 is an abundant number, since it is smaller than the sum of its proper divisors (35749000800).

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

12717360000 is a wasteful number, since it uses less digits than its factorization.

12717360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The spelling of 12717360000 in words is "twelve billion, seven hundred seventeen million, three hundred sixty thousand".