12001435104641 has 16 divisors (see below), whose sum is σ = 12321513225360. Its totient is φ = 11685894554880.

The previous prime is 12001435104587. The next prime is 12001435104643. The reversal of 12001435104641 is 14640153410021.

It can be written as a sum of positive squares in 8 ways, for example, as 6639362276416 + 5362072828225 = 2576696^2 + 2315615^2 .

It is a cyclic number.

It is not a de Polignac number, because 12001435104641 - 2¹⁴ = 12001435088257 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12001435104598 and 12001435104607.

It is not an unprimeable number, because it can be changed into a prime (12001435104643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246935 + ... + 4905491.

It is an arithmetic number, because the mean of its divisors is an integer number (770094576585).

Almost surely, 2^{12001435104641} is an apocalyptic number.

It is an amenable number.

12001435104641 is a deficient number, since it is larger than the sum of its proper divisors (320078120719).

12001435104641 is a wasteful number, since it uses less digits than its factorization.

12001435104641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4659044.

The product of its (nonzero) digits is 11520, while the sum is 32.

Adding to 12001435104641 its reverse (14640153410021), we get a palindrome (26641588514662).

The spelling of 12001435104641 in words is "twelve trillion, one billion, four hundred thirty-five million, one hundred four thousand, six hundred forty-one".