12144435741 has 72 divisors (see below), whose sum is σ = 19507465224. Its totient is φ = 7271147520.

The previous prime is 12144435739. The next prime is 12144435767. The reversal of 12144435741 is 14753444121.

12144435741 is a `hidden beast` number, since 1 + 2 + 1 + 44 + 43 + 574 + 1 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 215208900 + 11929226841 = 14670^2 + 109221^2 .

It is not a de Polignac number, because 12144435741 - 2¹ = 12144435739 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12144435696 and 12144435705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12144435701) 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 71 ways as a sum of consecutive naturals, for example, 5099371 + ... + 5101751.

It is an arithmetic number, because the mean of its divisors is an integer number (270937017).

Almost surely, 2^12144435741 is an apocalyptic number.

It is an amenable number.

12144435741 is a deficient number, since it is larger than the sum of its proper divisors (7363029483).

12144435741 is a wasteful number, since it uses less digits than its factorization.

12144435741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2511 (or 2491 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

Adding to 12144435741 its reverse (14753444121), we get a palindrome (26897879862).

The spelling of 12144435741 in words is "twelve billion, one hundred forty-four million, four hundred thirty-five thousand, seven hundred forty-one".