12496224 has 192 divisors, whose sum is σ = 40642560. Its totient is φ = 3317760.

The previous prime is 12496217. The next prime is 12496229. The reversal of 12496224 is 42269421.

It is a Cunningham number, because it is equal to 3535²-1.

It is a super-2 number, since 2×12496224² = 312311228516352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12496191 and 12496200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12496229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 403089 + ... + 403119.

It is an arithmetic number, because the mean of its divisors is an integer number (211680).

Almost surely, 2^12496224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12496224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20321280).

12496224 is an abundant number, since it is smaller than the sum of its proper divisors (28146336).

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

12496224 is a wasteful number, since it uses less digits than its factorization.

12496224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 85 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 12496224 is about 3534.9998585573. Note that the first 3 decimals coincide. The cubic root of 12496224 is about 232.0560704746.

It can be divided in two parts, 12496 and 224, that added together give a triangular number (12720 = T₁₅₉).

The spelling of 12496224 in words is "twelve million, four hundred ninety-six thousand, two hundred twenty-four".