12166105025241 has 12 divisors (see below), whose sum is σ = 17573493701140. Its totient is φ = 8110630120320.

The previous prime is 12166105025213. The next prime is 12166105025257. The reversal of 12166105025241 is 14252050166121.

12166105025241 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 61 + 0 + 502 + 52 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 937645641 + 12165167379600 = 30621^2 + 3487860^2 .

It is not a de Polignac number, because 12166105025241 - 2²⁵ = 12166071470809 is a prime.

It is a super-2 number, since 2×12166105025241² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12166105025196 and 12166105025205.

It is not an unprimeable number, because it can be changed into a prime (12166105025201) 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, 8154076 + ... + 9530013.

Almost surely, 2^{12166105025241} is an apocalyptic number.

It is an amenable number.

12166105025241 is a deficient number, since it is larger than the sum of its proper divisors (5407388675899).

12166105025241 is a wasteful number, since it uses less digits than its factorization.

12166105025241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17760536 (or 17760533 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 12166105025241 in words is "twelve trillion, one hundred sixty-six billion, one hundred five million, twenty-five thousand, two hundred forty-one".