12344123440 has 80 divisors (see below), whose sum is σ = 31332923136. Its totient is φ = 4485369600.

The previous prime is 12344123423. The next prime is 12344123447. The reversal of 12344123440 is 4432144321.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 12344123399 and 12344123408.

It is not an unprimeable number, because it can be changed into a prime (12344123447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1353295 + ... + 1362385.

Almost surely, 2^12344123440 is an apocalyptic number.

12344123440 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 12344123440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15666461568).

12344123440 is an abundant number, since it is smaller than the sum of its proper divisors (18988799696).

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

12344123440 is a wasteful number, since it uses less digits than its factorization.

12344123440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10658 (or 10652 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 12344123440 its reverse (4432144321), we get a palindrome (16776267761).

The spelling of 12344123440 in words is "twelve billion, three hundred forty-four million, one hundred twenty-three thousand, four hundred forty".