12141175005 has 72 divisors (see below), whose sum is σ = 22903112232. Its totient is φ = 5929168896.

The previous prime is 12141174977. The next prime is 12141175127. The reversal of 12141175005 is 50057114121.

12141175005 is a `hidden beast` number, since 1 + 2 + 141 + 17 + 500 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2020412601 + 10120762404 = 44949^2 + 100602^2 .

It is not a de Polignac number, because 12141175005 - 2⁵ = 12141174973 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12141175005.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 1041489 + ... + 1053081.

It is an arithmetic number, because the mean of its divisors is an integer number (318098781).

Almost surely, 2^12141175005 is an apocalyptic number.

12141175005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12141175005 is a deficient number, since it is larger than the sum of its proper divisors (10761937227).

12141175005 is a wasteful number, since it uses less digits than its factorization.

12141175005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11695 (or 11655 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 27.

Adding to 12141175005 its reverse (50057114121), we get a palindrome (62198289126).

The spelling of 12141175005 in words is "twelve billion, one hundred forty-one million, one hundred seventy-five thousand, five".