12424320 has 128 divisors (see below), whose sum is σ = 44064000. Its totient is φ = 3308544.

The previous prime is 12424319. The next prime is 12424327. The reversal of 12424320 is 2342421.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 12424293 and 12424302.

It is not an unprimeable number, because it can be changed into a prime (12424327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16921 + ... + 17639.

It is an arithmetic number, because the mean of its divisors is an integer number (344250).

Almost surely, 2^12424320 is an apocalyptic number.

12424320 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 12424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22032000).

12424320 is an abundant number, since it is smaller than the sum of its proper divisors (31639680).

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

12424320 is an equidigital number, since it uses as much as digits as its factorization.

12424320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 12424320 is about 3524.8148887566. The cubic root of 12424320 is about 231.6101260036.

Adding to 12424320 its reverse (2342421), we get a palindrome (14766741).

The spelling of 12424320 in words is "twelve million, four hundred twenty-four thousand, three hundred twenty".