12241005345 has 24 divisors (see below), whose sum is σ = 21618081576. Its totient is φ = 6405355008.

The previous prime is 12241005331. The next prime is 12241005367. The reversal of 12241005345 is 54350014221.

12241005345 is a `hidden beast` number, since 1 + 2 + 24 + 100 + 534 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4125878289 + 8115127056 = 64233^2 + 90084^2 .

It is not a de Polignac number, because 12241005345 - 2⁵ = 12241005313 is a prime.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2563864 + ... + 2568633.

It is an arithmetic number, because the mean of its divisors is an integer number (900753399).

Almost surely, 2^12241005345 is an apocalyptic number.

12241005345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12241005345 is a deficient number, since it is larger than the sum of its proper divisors (9377076231).

12241005345 is a wasteful number, since it uses less digits than its factorization.

12241005345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5132561 (or 5132558 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 12241005345 its reverse (54350014221), we get a palindrome (66591019566).

The spelling of 12241005345 in words is "twelve billion, two hundred forty-one million, five thousand, three hundred forty-five".