12440424111312 has 160 divisors (see below), whose sum is σ = 32850591713280. Its totient is φ = 4055927316480.

The previous prime is 12440424111299. The next prime is 12440424111347. The reversal of 12440424111312 is 21311142404421.

It is a super-4 number, since 4×12440424111312⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 12440424111312.

It is a congruent number.

It is an unprimeable number.

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, 286604203 + ... + 286647605.

It is an arithmetic number, because the mean of its divisors is an integer number (205316198208).

Almost surely, 2^{12440424111312} is an apocalyptic number.

12440424111312 is a gapful number since it is divisible by the number (12) 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 12440424111312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16425295856640).

12440424111312 is an abundant number, since it is smaller than the sum of its proper divisors (20410167601968).

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

12440424111312 is a wasteful number, since it uses less digits than its factorization.

12440424111312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44201 (or 44195 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 12440424111312 its reverse (21311142404421), we get a palindrome (33751566515733).

The spelling of 12440424111312 in words is "twelve trillion, four hundred forty billion, four hundred twenty-four million, one hundred eleven thousand, three hundred twelve".