12891402720 has 768 divisors, whose sum is σ = 55148083200. Its totient is φ = 2781444096.

The previous prime is 12891402707. The next prime is 12891402757. The reversal of 12891402720 is 2720419821.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46539222 + ... + 46539498.

It is an arithmetic number, because the mean of its divisors is an integer number (71807400).

Almost surely, 2^12891402720 is an apocalyptic number.

12891402720 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 12891402720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27574041600).

12891402720 is an abundant number, since it is smaller than the sum of its proper divisors (42256680480).

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

12891402720 is an equidigital number, since it uses as much as digits as its factorization.

12891402720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 12891402720 in words is "twelve billion, eight hundred ninety-one million, four hundred two thousand, seven hundred twenty".