12726862720 has 384 divisors, whose sum is σ = 37899446400. Its totient is φ = 4039925760.

The previous prime is 12726862717. The next prime is 12726862723. The reversal of 12726862720 is 2726862721.

It is an interprime number because it is at equal distance from previous prime (12726862717) and next prime (12726862723).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12726862723) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22605159 + ... + 22605721.

It is an arithmetic number, because the mean of its divisors is an integer number (98696475).

Almost surely, 2^12726862720 is an apocalyptic number.

12726862720 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 12726862720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18949723200).

12726862720 is an abundant number, since it is smaller than the sum of its proper divisors (25172583680).

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

12726862720 is a wasteful number, since it uses less digits than its factorization.

12726862720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

Subtracting from 12726862720 its reverse (2726862721), we obtain a palindrome (9999999999).

The spelling of 12726862720 in words is "twelve billion, seven hundred twenty-six million, eight hundred sixty-two thousand, seven hundred twenty".