12080068416 has 168 divisors, whose sum is σ = 37382272200. Its totient is φ = 3707633664.

The previous prime is 12080068409. The next prime is 12080068447. The reversal of 12080068416 is 61486008021.

It can be written as a sum of positive squares in 4 ways, for example, as 306950400 + 11773118016 = 17520^2 + 108504^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3360316 + ... + 3363908.

It is an arithmetic number, because the mean of its divisors is an integer number (222513525).

Almost surely, 2^12080068416 is an apocalyptic number.

12080068416 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 12080068416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18691136100).

12080068416 is an abundant number, since it is smaller than the sum of its proper divisors (25302203784).

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

12080068416 is a wasteful number, since it uses less digits than its factorization.

12080068416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4073 (or 4060 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 12080068416 in words is "twelve billion, eighty million, sixty-eight thousand, four hundred sixteen".