12205440 has 192 divisors, whose sum is σ = 45667440. Its totient is φ = 2985984.

The previous prime is 12205393. The next prime is 12205441. The reversal of 12205440 is 4450221.

12205440 is a `hidden beast` number, since 1 + 220 + 5 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12205441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74799 + ... + 74961.

Almost surely, 2^12205440 is an apocalyptic number.

12205440 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 12205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22833720).

12205440 is an abundant number, since it is smaller than the sum of its proper divisors (33462000).

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

12205440 is a wasteful number, since it uses less digits than its factorization.

12205440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 12205440 is about 3493.6284862589. The cubic root of 12205440 is about 230.2419633831.

Adding to 12205440 its reverse (4450221), we get a palindrome (16655661).

The spelling of 12205440 in words is "twelve million, two hundred five thousand, four hundred forty".