12205410 has 144 divisors (see below), whose sum is σ = 37526976. Its totient is φ = 2528064.

The previous prime is 12205393. The next prime is 12205441. The reversal of 12205410 is 1450221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12205410.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 530659 + ... + 530681.

It is an arithmetic number, because the mean of its divisors is an integer number (260604).

Almost surely, 2^12205410 is an apocalyptic number.

12205410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12205410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18763488).

12205410 is an abundant number, since it is smaller than the sum of its proper divisors (25321566).

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

12205410 is a wasteful number, since it uses less digits than its factorization.

12205410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 12205410 is about 3493.6241927259. The cubic root of 12205410 is about 230.2417747442.

Adding to 12205410 its reverse (1450221), we get a palindrome (13655631).

The spelling of 12205410 in words is "twelve million, two hundred five thousand, four hundred ten".