12460964160 has 112 divisors (see below), whose sum is σ = 39651529536. Its totient is φ = 3315535872.

The previous prime is 12460964141. The next prime is 12460964167. The reversal of 12460964160 is 6146906421.

12460964160 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 (12460964167) 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, 424519 + ... + 452921.

Almost surely, 2^12460964160 is an apocalyptic number.

12460964160 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 12460964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19825764768).

12460964160 is an abundant number, since it is smaller than the sum of its proper divisors (27190565376).

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

12460964160 is a wasteful number, since it uses less digits than its factorization.

12460964160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28880 (or 28870 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 12460964160 in words is "twelve billion, four hundred sixty million, nine hundred sixty-four thousand, one hundred sixty".