12344413401320 has 384 divisors, whose sum is σ = 37591260814080. Its totient is φ = 3542722560000.

The previous prime is 12344413401301. The next prime is 12344413401337. The reversal of 12344413401320 is 2310431444321.

It is a super-2 number, since 2×12344413401320² (a number of 27 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 208698950 + ... + 208758090.

It is an arithmetic number, because the mean of its divisors is an integer number (97893908370).

Almost surely, 2^{12344413401320} is an apocalyptic number.

12344413401320 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 12344413401320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18795630407040).

12344413401320 is an abundant number, since it is smaller than the sum of its proper divisors (25246847412760).

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

12344413401320 is a wasteful number, since it uses less digits than its factorization.

12344413401320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59597 (or 59580 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 12344413401320 its reverse (2310431444321), we get a palindrome (14654844845641).

The spelling of 12344413401320 in words is "twelve trillion, three hundred forty-four billion, four hundred thirteen million, four hundred one thousand, three hundred twenty".