12205331712 has 216 divisors, whose sum is σ = 40310786880. Its totient is φ = 3479224320.

The previous prime is 12205331659. The next prime is 12205331717. The reversal of 12205331712 is 21713350221.

12205331712 is a `hidden beast` number, since 122 + 0 + 533 + 1 + 7 + 1 + 2 = 666.

12205331712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12205331717) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 13853512 + ... + 13854392.

Almost surely, 2^12205331712 is an apocalyptic number.

12205331712 is a gapful number since it is divisible by the number (12) 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 12205331712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20155393440).

12205331712 is an abundant number, since it is smaller than the sum of its proper divisors (28105455168).

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

12205331712 is an equidigital number, since it uses as much as digits as its factorization.

12205331712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 12205331712 its reverse (21713350221), we get a palindrome (33918681933).

The spelling of 12205331712 in words is "twelve billion, two hundred five million, three hundred thirty-one thousand, seven hundred twelve".