12382428940729 has 16 divisors (see below), whose sum is σ = 13123514693520. Its totient is φ = 11662358256640.

The previous prime is 12382428940727. The next prime is 12382428940793. The reversal of 12382428940729 is 92704982428321.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2859897001129 + 9522531939600 = 1691123^2 + 3085860^2 .

It is a cyclic number.

It is not a de Polignac number, because 12382428940729 - 2¹ = 12382428940727 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12382428940727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8674149 + ... + 10000285.

It is an arithmetic number, because the mean of its divisors is an integer number (820219668345).

Almost surely, 2^{12382428940729} is an apocalyptic number.

It is an amenable number.

12382428940729 is a deficient number, since it is larger than the sum of its proper divisors (741085752791).

12382428940729 is a wasteful number, since it uses less digits than its factorization.

12382428940729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334060.

The product of its (nonzero) digits is 27869184, while the sum is 61.

The spelling of 12382428940729 in words is "twelve trillion, three hundred eighty-two billion, four hundred twenty-eight million, nine hundred forty thousand, seven hundred twenty-nine".