12205312 has 72 divisors (see below), whose sum is σ = 28616000. Its totient is φ = 5193216.

The previous prime is 12205309. The next prime is 12205313. The reversal of 12205312 is 21350221.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12205313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87739 + ... + 87877.

Almost surely, 2^12205312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12205312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14308000).

12205312 is an abundant number, since it is smaller than the sum of its proper divisors (16410688).

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

12205312 is an frugal number, since it uses more digits than its factorization.

12205312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 12205312 is about 3493.6101671480. The cubic root of 12205312 is about 230.2411585214.

Adding to 12205312 its reverse (21350221), we get a palindrome (33555533).

The spelling of 12205312 in words is "twelve million, two hundred five thousand, three hundred twelve".