12424400 has 60 divisors (see below), whose sum is σ = 30271500. Its totient is φ = 4899840.

The previous prime is 12424387. The next prime is 12424427. The reversal of 12424400 is 442421.

12424400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 425104 + 11999296 = 652^2 + 3464^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35426 + ... + 35774.

It is an arithmetic number, because the mean of its divisors is an integer number (504525).

Almost surely, 2^12424400 is an apocalyptic number.

12424400 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 12424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15135750).

12424400 is an abundant number, since it is smaller than the sum of its proper divisors (17847100).

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

12424400 is a wasteful number, since it uses less digits than its factorization.

12424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 12424400 is about 3524.8262368520. The cubic root of 12424400 is about 231.6106231139.

Adding to 12424400 its reverse (442421), we get a palindrome (12866821).

The spelling of 12424400 in words is "twelve million, four hundred twenty-four thousand, four hundred".