12010327680 has 256 divisors, whose sum is σ = 43022327040. Its totient is φ = 2827714560.

The previous prime is 12010327639. The next prime is 12010327691. The reversal of 12010327680 is 8672301021.

12010327680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 563620 + ... + 584540.

It is an arithmetic number, because the mean of its divisors is an integer number (168055965).

Almost surely, 2^12010327680 is an apocalyptic number.

12010327680 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 12010327680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21511163520).

12010327680 is an abundant number, since it is smaller than the sum of its proper divisors (31011999360).

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

12010327680 is a wasteful number, since it uses less digits than its factorization.

12010327680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20979 (or 20967 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 12010327680 in words is "twelve billion, ten million, three hundred twenty-seven thousand, six hundred eighty".