12424720 has 80 divisors (see below), whose sum is σ = 36033408. Its totient is φ = 3870720.

The previous prime is 12424703. The next prime is 12424723. The reversal of 12424720 is 2742421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 12424691 and 12424700.

It is not an unprimeable number, because it can be changed into a prime (12424723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5152 + ... + 7168.

Almost surely, 2^12424720 is an apocalyptic number.

12424720 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 12424720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18016704).

12424720 is an abundant number, since it is smaller than the sum of its proper divisors (23608688).

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

12424720 is a wasteful number, since it uses less digits than its factorization.

12424720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 2042 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 12424720 is about 3524.8716288682. The cubic root of 12424720 is about 231.6126115335.

The spelling of 12424720 in words is "twelve million, four hundred twenty-four thousand, seven hundred twenty".