12080038883328 has 312 divisors, whose sum is σ = 37670243869440. Its totient is φ = 3707787018240.

The previous prime is 12080038883281. The next prime is 12080038883357. The reversal of 12080038883328 is 82338883008021.

It is a happy number.

12080038883328 is a `hidden beast` number, since 1 + 208 + 0 + 0 + 38 + 8 + 83 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (312).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195975073 + ... + 196036703.

It is an arithmetic number, because the mean of its divisors is an integer number (120737961120).

Almost surely, 2^{12080038883328} is an apocalyptic number.

12080038883328 is a gapful number since it is divisible by the number (18) 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 12080038883328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18835121934720).

12080038883328 is an abundant number, since it is smaller than the sum of its proper divisors (25590204986112).

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

12080038883328 is a wasteful number, since it uses less digits than its factorization.

12080038883328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62083 (or 62058 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 12080038883328 in words is "twelve trillion, eighty billion, thirty-eight million, eight hundred eighty-three thousand, three hundred twenty-eight".