12321400344 has 64 divisors (see below), whose sum is σ = 33734759040. Its totient is φ = 3719208960.

The previous prime is 12321400331. The next prime is 12321400361. The reversal of 12321400344 is 44300412321.

12321400344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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, 22954 + ... + 158649.

It is an arithmetic number, because the mean of its divisors is an integer number (527105610).

Almost surely, 2^12321400344 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 12321400344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16867379520).

12321400344 is an abundant number, since it is smaller than the sum of its proper divisors (21413358696).

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

12321400344 is a wasteful number, since it uses less digits than its factorization.

12321400344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181880 (or 181876 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12321400344 its reverse (44300412321), we get a palindrome (56621812665).

The spelling of 12321400344 in words is "twelve billion, three hundred twenty-one million, four hundred thousand, three hundred forty-four".