12343040320 has 224 divisors, whose sum is σ = 33101097120. Its totient is φ = 4352409600.

The previous prime is 12343040279. The next prime is 12343040323. The reversal of 12343040320 is 2304034321.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 5418137664 + 6924902656 = 73608^2 + 83216^2 .

It is a super-2 number, since 2×12343040320² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12343040291 and 12343040300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12343040323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12184134 + ... + 12185146.

It is an arithmetic number, because the mean of its divisors is an integer number (147772755).

Almost surely, 2^12343040320 is an apocalyptic number.

12343040320 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 12343040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16550548560).

12343040320 is an abundant number, since it is smaller than the sum of its proper divisors (20758056800).

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

12343040320 is a wasteful number, since it uses less digits than its factorization.

12343040320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 12343040320 its reverse (2304034321), we get a palindrome (14647074641).

The spelling of 12343040320 in words is "twelve billion, three hundred forty-three million, forty thousand, three hundred twenty".