12461217032 has 64 divisors (see below), whose sum is σ = 26899387200. Its totient is φ = 5352272640.

The previous prime is 12461217023. The next prime is 12461217077. The reversal of 12461217032 is 23071216421.

12461217032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12461216986 and 12461217004.

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, 654398 + ... + 673170.

It is an arithmetic number, because the mean of its divisors is an integer number (420302925).

Almost surely, 2^12461217032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12461217032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13449693600).

12461217032 is an abundant number, since it is smaller than the sum of its proper divisors (14438170168).

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

12461217032 is a wasteful number, since it uses less digits than its factorization.

12461217032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19206 (or 19202 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The spelling of 12461217032 in words is "twelve billion, four hundred sixty-one million, two hundred seventeen thousand, thirty-two".