12241234461141 has 96 divisors (see below), whose sum is σ = 21132933120000. Its totient is φ = 6676093695744.

The previous prime is 12241234461133. The next prime is 12241234461223. The reversal of 12241234461141 is 14116443214221.

12241234461141 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 1 + 2 + 34 + 4 + 611 + 4 + 1 = 666.

It is not a de Polignac number, because 12241234461141 - 2³ = 12241234461133 is a prime.

It is a super-2 number, since 2×12241234461141² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12241234461096 and 12241234461105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12241234461241) 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 95 ways as a sum of consecutive naturals, for example, 2151734625 + ... + 2151740313.

It is an arithmetic number, because the mean of its divisors is an integer number (220134720000).

Almost surely, 2^{12241234461141} is an apocalyptic number.

It is an amenable number.

12241234461141 is a deficient number, since it is larger than the sum of its proper divisors (8891698658859).

12241234461141 is a wasteful number, since it uses less digits than its factorization.

12241234461141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8743 (or 8740 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

Adding to 12241234461141 its reverse (14116443214221), we get a palindrome (26357677675362).

The spelling of 12241234461141 in words is "twelve trillion, two hundred forty-one billion, two hundred thirty-four million, four hundred sixty-one thousand, one hundred forty-one".