12205120 has 56 divisors (see below), whose sum is σ = 29772864. Its totient is φ = 4763136.

The previous prime is 12205117. The next prime is 12205121. The reversal of 12205120 is 2150221.

It is a self number, because there is not a number n which added to its sum of digits gives 12205120.

It is not an unprimeable number, because it can be changed into a prime (12205121) 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, 13317 + ... + 14203.

Almost surely, 2^12205120 is an apocalyptic number.

12205120 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 12205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14886432).

12205120 is an abundant number, since it is smaller than the sum of its proper divisors (17567744).

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

12205120 is an equidigital number, since it uses as much as digits as its factorization.

12205120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 12205120 is about 3493.5826883015. The cubic root of 12205120 is about 230.2399512183.

Adding to 12205120 its reverse (2150221), we get a palindrome (14355341).

The spelling of 12205120 in words is "twelve million, two hundred five thousand, one hundred twenty".