12896012160 has 256 divisors, whose sum is σ = 45788371200. Its totient is φ = 3430287360.

The previous prime is 12896012159. The next prime is 12896012161. The reversal of 12896012160 is 6121069821.

12896012160 is a `hidden beast` number, since 1 + 28 + 9 + 601 + 21 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12896012159) and next prime (12896012161).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12896012161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9866227 + ... + 9867533.

It is an arithmetic number, because the mean of its divisors is an integer number (178860825).

Almost surely, 2^12896012160 is an apocalyptic number.

12896012160 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 12896012160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22894185600).

12896012160 is an abundant number, since it is smaller than the sum of its proper divisors (32892359040).

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

12896012160 is a wasteful number, since it uses less digits than its factorization.

12896012160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 12896012160 in words is "twelve billion, eight hundred ninety-six million, twelve thousand, one hundred sixty".