12442140041121 has 96 divisors (see below), whose sum is σ = 21654528000000. Its totient is φ = 7039628344224.

The previous prime is 12442140041087. The next prime is 12442140041129. The reversal of 12442140041121 is 12114004124421.

12442140041121 is a `hidden beast` number, since 1 + 244 + 2 + 1 + 4 + 0 + 0 + 411 + 2 + 1 = 666.

It is not a de Polignac number, because 12442140041121 - 2¹⁴ = 12442140024737 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12442140041129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83768280 + ... + 83916678.

It is an arithmetic number, because the mean of its divisors is an integer number (225568000000).

Almost surely, 2^{12442140041121} is an apocalyptic number.

It is an amenable number.

12442140041121 is a deficient number, since it is larger than the sum of its proper divisors (9212387958879).

12442140041121 is a wasteful number, since it uses less digits than its factorization.

12442140041121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149048 (or 149035 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 12442140041121 its reverse (12114004124421), we get a palindrome (24556144165542).

The spelling of 12442140041121 in words is "twelve trillion, four hundred forty-two billion, one hundred forty million, forty-one thousand, one hundred twenty-one".