12424131252 has 72 divisors (see below), whose sum is σ = 33861803976. Its totient is φ = 3818225664.

The previous prime is 12424131227. The next prime is 12424131253. The reversal of 12424131252 is 25213142421.

12424131252 is a `hidden beast` number, since 1 + 242 + 413 + 1 + 2 + 5 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6889664016 + 5534467236 = 83004^2 + 74394^2 .

It is a super-3 number, since 3×12424131252³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12424131253) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 385588 + ... + 416564.

It is an arithmetic number, because the mean of its divisors is an integer number (470302833).

Almost surely, 2^12424131252 is an apocalyptic number.

12424131252 is a gapful number since it is divisible by the number (12) 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 12424131252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16930901988).

12424131252 is an abundant number, since it is smaller than the sum of its proper divisors (21437672724).

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

12424131252 is a wasteful number, since it uses less digits than its factorization.

12424131252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31857 (or 31852 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

Adding to 12424131252 its reverse (25213142421), we get a palindrome (37637273673).

The spelling of 12424131252 in words is "twelve billion, four hundred twenty-four million, one hundred thirty-one thousand, two hundred fifty-two".