12133541241 has 12 divisors (see below), whose sum is σ = 17530000020. Its totient is φ = 8087285760.

The previous prime is 12133541221. The next prime is 12133541249. The reversal of 12133541241 is 14214533121.

12133541241 is a `hidden beast` number, since 1 + 213 + 35 + 412 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5929616016 + 6203925225 = 77004^2 + 78765^2 .

It is not a de Polignac number, because 12133541241 - 2⁵ = 12133541209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12133541249) 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 11 ways as a sum of consecutive naturals, for example, 100296 + ... + 185273.

It is an arithmetic number, because the mean of its divisors is an integer number (1460833335).

Almost surely, 2^12133541241 is an apocalyptic number.

It is an amenable number.

12133541241 is a deficient number, since it is larger than the sum of its proper divisors (5396458779).

12133541241 is a wasteful number, since it uses less digits than its factorization.

12133541241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290296 (or 290293 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The spelling of 12133541241 in words is "twelve billion, one hundred thirty-three million, five hundred forty-one thousand, two hundred forty-one".