12461026416 has 160 divisors (see below), whose sum is σ = 33643180032. Its totient is φ = 3971358720.

The previous prime is 12461026397. The next prime is 12461026429. The reversal of 12461026416 is 61462016421.

12461026416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 28778136 + ... + 28778568.

Almost surely, 2^12461026416 is an apocalyptic number.

12461026416 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 12461026416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16821590016).

12461026416 is an abundant number, since it is smaller than the sum of its proper divisors (21182153616).

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

12461026416 is a wasteful number, since it uses less digits than its factorization.

12461026416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 12461026416 in words is "twelve billion, four hundred sixty-one million, twenty-six thousand, four hundred sixteen".