12002736249 has 135 divisors (see below), whose sum is σ = 21902106303. Its totient is φ = 6531350112.

The previous prime is 12002736247. The next prime is 12002736283. The reversal of 12002736249 is 94263720021.

The square root of 12002736249 is 109557.

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

12002736249 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 27 + 3 + 624 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10740213225 + 1262523024 = 103635^2 + 35532^2 .

It is not a de Polignac number, because 12002736249 - 2¹ = 12002736247 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12002736247) 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 134 ways as a sum of consecutive naturals, for example, 255377344 + ... + 255377390.

Almost surely, 2^12002736249 is an apocalyptic number.

12002736249 is the 109557-th square number.

12002736249 is the 54779-th centered octagonal number.

It is an amenable number.

12002736249 is a deficient number, since it is larger than the sum of its proper divisors (9899370054).

12002736249 is an frugal number, since it uses more digits than its factorization.

12002736249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Multiplying 12002736249 by its sum of digits (36), we get a square (432098504964 = 657342²).

The spelling of 12002736249 in words is "twelve billion, two million, seven hundred thirty-six thousand, two hundred forty-nine".