12305243041 has 81 divisors (see below), whose sum is σ = 16514766009. Its totient is φ = 9136999872.

The previous prime is 12305243023. The next prime is 12305243047. The reversal of 12305243041 is 14034250321.

The square root of 12305243041 is 110929.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 319372641 + 11985870400 = 17871^2 + 109480^2 .

It is not a de Polignac number, because 12305243041 - 2²³ = 12296854433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12305242997 and 12305243015.

It is not an unprimeable number, because it can be changed into a prime (12305243047) 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 80 ways as a sum of consecutive naturals, for example, 232174371 + ... + 232174423.

Almost surely, 2^12305243041 is an apocalyptic number.

12305243041 is the 110929-th square number.

12305243041 is the 55465-th centered octagonal number.

It is an amenable number.

12305243041 is a deficient number, since it is larger than the sum of its proper divisors (4209522968).

12305243041 is an equidigital number, since it uses as much as digits as its factorization.

12305243041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Multiplying 12305243041 by its sum of digits (25), we get a square (307631076025 = 554645²).

Adding to 12305243041 its reverse (14034250321), we get a palindrome (26339493362).

The spelling of 12305243041 in words is "twelve billion, three hundred five million, two hundred forty-three thousand, forty-one".