12011344224 has 48 divisors (see below), whose sum is σ = 34396125120. Its totient is φ = 3639800960.

The previous prime is 12011344223. The next prime is 12011344243. The reversal of 12011344224 is 42244311021.

12011344224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12011344194 and 12011344203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011344223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5686134 + ... + 5688245.

It is an arithmetic number, because the mean of its divisors is an integer number (716585940).

Almost surely, 2^12011344224 is an apocalyptic number.

It is an amenable number.

12011344224 is an abundant number, since it is smaller than the sum of its proper divisors (22384780896).

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

12011344224 is a wasteful number, since it uses less digits than its factorization.

12011344224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11374403 (or 11374395 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12011344224 its reverse (42244311021), we get a palindrome (54255655245).

The spelling of 12011344224 in words is "twelve billion, eleven million, three hundred forty-four thousand, two hundred twenty-four".