12749182720 has 72 divisors (see below), whose sum is σ = 30610134576. Its totient is φ = 5087674368.

The previous prime is 12749182697. The next prime is 12749182741. The reversal of 12749182720 is 2728194721.

12749182720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 542739 + ... + 565741.

It is an arithmetic number, because the mean of its divisors is an integer number (425140758).

Almost surely, 2^12749182720 is an apocalyptic number.

12749182720 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 12749182720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15305067288).

12749182720 is an abundant number, since it is smaller than the sum of its proper divisors (17860951856).

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

12749182720 is an equidigital number, since it uses as much as digits as its factorization.

12749182720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23457 (or 23443 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 43.

The spelling of 12749182720 in words is "twelve billion, seven hundred forty-nine million, one hundred eighty-two thousand, seven hundred twenty".