12836458312101 has 12 divisors (see below), whose sum is σ = 18563917071180. Its totient is φ = 8547316024320.

The previous prime is 12836458312057. The next prime is 12836458312103. The reversal of 12836458312101 is 10121385463821.

12836458312101 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 64 + 583 + 1 + 2 + 1 + 0 + 1 = 666.

12836458312101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8607475822500 + 4228982489601 = 2933850^2 + 2056449^2 .

It is not a de Polignac number, because 12836458312101 - 2³⁴ = 12819278442917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12836458312103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 860229660 + ... + 860244581.

It is an arithmetic number, because the mean of its divisors is an integer number (1546993089265).

Almost surely, 2^{12836458312101} is an apocalyptic number.

It is an amenable number.

12836458312101 is a deficient number, since it is larger than the sum of its proper divisors (5727458759079).

12836458312101 is a wasteful number, since it uses less digits than its factorization.

12836458312101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720475076 (or 1720475073 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 12836458312101 in words is "twelve trillion, eight hundred thirty-six billion, four hundred fifty-eight million, three hundred twelve thousand, one hundred one".