12896402100641 has 8 divisors (see below), whose sum is σ = 13655056026024. Its totient is φ = 12137752846080.

The previous prime is 12896402100629. The next prime is 12896402100649. The reversal of 12896402100641 is 14600120469821.

It can be written as a sum of positive squares in 4 ways, for example, as 1491563919616 + 11404838181025 = 1221296^2 + 3377105^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12896402100641 - 2¹⁸ = 12896401838497 is a prime.

It is a super-2 number, since 2×12896402100641² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12896402100592 and 12896402100601.

It is not an unprimeable number, because it can be changed into a prime (12896402100649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5656271 + ... + 7601723.

It is an arithmetic number, because the mean of its divisors is an integer number (1706882003253).

Almost surely, 2^{12896402100641} is an apocalyptic number.

It is an amenable number.

12896402100641 is a deficient number, since it is larger than the sum of its proper divisors (758653925383).

12896402100641 is a wasteful number, since it uses less digits than its factorization.

12896402100641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335411.

The product of its (nonzero) digits is 165888, while the sum is 44.

The spelling of 12896402100641 in words is "twelve trillion, eight hundred ninety-six billion, four hundred two million, one hundred thousand, six hundred forty-one".