12126561249 has 16 divisors (see below), whose sum is σ = 17663201280. Its totient is φ = 7339194960.

The previous prime is 12126561199. The next prime is 12126561257. The reversal of 12126561249 is 94216562121.

12126561249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12126561249 - 2⁸ = 12126560993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12126561259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231817 + ... + 279270.

It is an arithmetic number, because the mean of its divisors is an integer number (1103950080).

Almost surely, 2^12126561249 is an apocalyptic number.

It is an amenable number.

12126561249 is a deficient number, since it is larger than the sum of its proper divisors (5536640031).

12126561249 is a wasteful number, since it uses less digits than its factorization.

12126561249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511820.

The product of its digits is 51840, while the sum is 39.

It can be divided in two parts, 12126 and 561249, that added together give a palindrome (573375).

The spelling of 12126561249 in words is "twelve billion, one hundred twenty-six million, five hundred sixty-one thousand, two hundred forty-nine".