12434044224 has 224 divisors, whose sum is σ = 38567197440. Its totient is φ = 3461971968.

The previous prime is 12434044219. The next prime is 12434044243. The reversal of 12434044224 is 42244043421.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 12434044191 and 12434044200.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 12322632 + ... + 12323640.

Almost surely, 2^12434044224 is an apocalyptic number.

12434044224 is a gapful number since it is divisible by the number (14) 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 12434044224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19283598720).

12434044224 is an abundant number, since it is smaller than the sum of its proper divisors (26133153216).

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

12434044224 is a wasteful number, since it uses less digits than its factorization.

12434044224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 12434044224 its reverse (42244043421), we get a palindrome (54678087645).

The spelling of 12434044224 in words is "twelve billion, four hundred thirty-four million, forty-four thousand, two hundred twenty-four".