12721825440 has 768 divisors, whose sum is σ = 49641984000. Its totient is φ = 3030773760.

The previous prime is 12721825433. The next prime is 12721825447. The reversal of 12721825440 is 4452812721.

12721825440 is a `hidden beast` number, since 12 + 7 + 21 + 82 + 544 + 0 = 666.

12721825440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12721825433) and next prime (12721825447).

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

It is a junction number, because it is equal to n+sod(n) for n = 12721825395 and 12721825404.

It is not an unprimeable number, because it can be changed into a prime (12721825447) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 179180605 + ... + 179180675.

It is an arithmetic number, because the mean of its divisors is an integer number (64638000).

Almost surely, 2^12721825440 is an apocalyptic number.

12721825440 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 12721825440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24820992000).

12721825440 is an abundant number, since it is smaller than the sum of its proper divisors (36920158560).

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

12721825440 is a wasteful number, since it uses less digits than its factorization.

12721825440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 12721825440 in words is "twelve billion, seven hundred twenty-one million, eight hundred twenty-five thousand, four hundred forty".