12424896 has 168 divisors, whose sum is σ = 40654224. Its totient is φ = 3594240.

The previous prime is 12424877. The next prime is 12424901. The reversal of 12424896 is 69842421.

12424896 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12424896² = 308756081221632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12424896.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234406 + ... + 234458.

Almost surely, 2^12424896 is an apocalyptic number.

12424896 is a gapful number since it is divisible by the number (16) 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 12424896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20327112).

12424896 is an abundant number, since it is smaller than the sum of its proper divisors (28229328).

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

12424896 is a wasteful number, since it uses less digits than its factorization.

12424896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 106 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 12424896 is about 3524.8965942280. The cubic root of 12424896 is about 231.6137051498.

The spelling of 12424896 in words is "twelve million, four hundred twenty-four thousand, eight hundred ninety-six".