12244896 has 144 divisors (see below), whose sum is σ = 38388168. Its totient is φ = 3686400.

The previous prime is 12244889. The next prime is 12244909. The reversal of 12244896 is 69844221.

12244896 is a `hidden beast` number, since 122 + 448 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5588496 + 6656400 = 2364^2 + 2580^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 12244896.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 200706 + ... + 200766.

Almost surely, 2^12244896 is an apocalyptic number.

12244896 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 12244896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19194084).

12244896 is an abundant number, since it is smaller than the sum of its proper divisors (26143272).

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

12244896 is a wasteful number, since it uses less digits than its factorization.

12244896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 124 counting only the distinct ones).

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

The square root of 12244896 is about 3499.2707811771. The cubic root of 12244896 is about 230.4897942821.

It can be divided in two parts, 1224 and 4896, that multiplied together give a square (5992704 = 2448²).

The spelling of 12244896 in words is "twelve million, two hundred forty-four thousand, eight hundred ninety-six".