12260849216 has 112 divisors (see below), whose sum is σ = 31380013440. Its totient is φ = 4612177920.

The previous prime is 12260849203. The next prime is 12260849231. The reversal of 12260849216 is 61294806221.

12260849216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

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, 100016 + ... + 185808.

Almost surely, 2^12260849216 is an apocalyptic number.

12260849216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12260849216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15690006720).

12260849216 is an abundant number, since it is smaller than the sum of its proper divisors (19119164224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12260849216 is a wasteful number, since it uses less digits than its factorization.

12260849216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85852 (or 85842 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The spelling of 12260849216 in words is "twelve billion, two hundred sixty million, eight hundred forty-nine thousand, two hundred sixteen".