12330782226 has 128 divisors (see below), whose sum is σ = 32168747520. Its totient is φ = 3427660800.

The previous prime is 12330782207. The next prime is 12330782291. The reversal of 12330782226 is 62228703321.

12330782226 is a `hidden beast` number, since 123 + 307 + 8 + 2 + 226 = 666.

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 63 ways as a sum of consecutive naturals, for example, 7081716 + ... + 7083456.

It is an arithmetic number, because the mean of its divisors is an integer number (251318340).

Almost surely, 2^12330782226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12330782226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16084373760).

12330782226 is an abundant number, since it is smaller than the sum of its proper divisors (19837965294).

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

12330782226 is a wasteful number, since it uses less digits than its factorization.

12330782226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257 (or 2251 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 12330782226 in words is "twelve billion, three hundred thirty million, seven hundred eighty-two thousand, two hundred twenty-six".