12406496480 has 96 divisors (see below), whose sum is σ = 33753646080. Its totient is φ = 4221135360.

The previous prime is 12406496429. The next prime is 12406496483. The reversal of 12406496480 is 8469460421.

12406496480 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 not an unprimeable number, because it can be changed into a prime (12406496483) 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, 104441 + ... + 188999.

It is an arithmetic number, because the mean of its divisors is an integer number (351600480).

Almost surely, 2^12406496480 is an apocalyptic number.

12406496480 is a gapful number since it is divisible by the number (10) 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 12406496480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16876823040).

12406496480 is an abundant number, since it is smaller than the sum of its proper divisors (21347149600).

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

12406496480 is a wasteful number, since it uses less digits than its factorization.

12406496480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84712 (or 84704 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 44.

The spelling of 12406496480 in words is "twelve billion, four hundred six million, four hundred ninety-six thousand, four hundred eighty".