12324101440 has 112 divisors (see below), whose sum is σ = 34357446144. Its totient is φ = 4122316800.

The previous prime is 12324101437. The next prime is 12324101441. The reversal of 12324101440 is 4410142321.

It is a happy number.

12324101440 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 (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12324101441) 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 15 ways as a sum of consecutive naturals, for example, 24745 + ... + 158935.

It is an arithmetic number, because the mean of its divisors is an integer number (306762912).

Almost surely, 2^12324101440 is an apocalyptic number.

12324101440 is a gapful number since it is divisible by the number (10) 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 12324101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17178723072).

12324101440 is an abundant number, since it is smaller than the sum of its proper divisors (22033344704).

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

12324101440 is a wasteful number, since it uses less digits than its factorization.

12324101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134256 (or 134246 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 12324101440 its reverse (4410142321), we get a palindrome (16734243761).

The spelling of 12324101440 in words is "twelve billion, three hundred twenty-four million, one hundred one thousand, four hundred forty".