12806717000 has 256 divisors, whose sum is σ = 38009088000. Its totient is φ = 3922656000.

The previous prime is 12806716997. The next prime is 12806717017. The reversal of 12806717000 is 71760821.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4541591 + ... + 4544409.

It is an arithmetic number, because the mean of its divisors is an integer number (148473000).

Almost surely, 2^12806717000 is an apocalyptic number.

12806717000 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 12806717000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19004544000).

12806717000 is an abundant number, since it is smaller than the sum of its proper divisors (25202371000).

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

12806717000 is a wasteful number, since it uses less digits than its factorization.

12806717000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2917 (or 2903 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 32.

The spelling of 12806717000 in words is "twelve billion, eight hundred six million, seven hundred seventeen thousand".