12205331424 has 720 divisors, whose sum is σ = 45198291600. Its totient is φ = 3191685120.

The previous prime is 12205331417. The next prime is 12205331429. The reversal of 12205331424 is 42413350221.

12205331424 is a `hidden beast` number, since 1 + 2 + 205 + 3 + 31 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12205331429) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 81914902 + ... + 81915050.

It is an arithmetic number, because the mean of its divisors is an integer number (62775405).

Almost surely, 2^12205331424 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 12205331424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22599145800).

12205331424 is an abundant number, since it is smaller than the sum of its proper divisors (32992960176).

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

12205331424 is a wasteful number, since it uses less digits than its factorization.

12205331424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 12205331424 its reverse (42413350221), we get a palindrome (54618681645).

The spelling of 12205331424 in words is "twelve billion, two hundred five million, three hundred thirty-one thousand, four hundred twenty-four".