12424113400 has 48 divisors (see below), whose sum is σ = 30585252240. Its totient is φ = 4677312000.

The previous prime is 12424113391. The next prime is 12424113409. The reversal of 12424113400 is 431142421.

It is a happy number.

12424113400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12424113391) and next prime (12424113409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12424113409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1823676 + ... + 1830475.

It is an arithmetic number, because the mean of its divisors is an integer number (637192755).

Almost surely, 2^12424113400 is an apocalyptic number.

12424113400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12424113400 is an abundant number, since it is smaller than the sum of its proper divisors (18161138840).

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

12424113400 is a wasteful number, since it uses less digits than its factorization.

12424113400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3654184 (or 3654175 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 12424113400 its reverse (431142421), we get a palindrome (12855255821).

It can be divided in two parts, 124241 and 13400, that added together give a square (137641 = 371²).

The spelling of 12424113400 in words is "twelve billion, four hundred twenty-four million, one hundred thirteen thousand, four hundred".