12205856 has 72 divisors (see below), whose sum is σ = 27162324. Its totient is φ = 5391360.

The previous prime is 12205849. The next prime is 12205867. The reversal of 12205856 is 65850221.

12205856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1210000 + 10995856 = 1100^2 + 3316^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 200066 + ... + 200126.

Almost surely, 2^12205856 is an apocalyptic number.

12205856 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 12205856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13581162).

12205856 is an abundant number, since it is smaller than the sum of its proper divisors (14956468).

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

12205856 is a wasteful number, since it uses less digits than its factorization.

12205856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 12205856 is about 3493.6880227061. The cubic root of 12205856 is about 230.2445791449.

The spelling of 12205856 in words is "twelve million, two hundred five thousand, eight hundred fifty-six".