12440091312 has 360 divisors, whose sum is σ = 41099713200. Its totient is φ = 3498992640.

The previous prime is 12440091253. The next prime is 12440091337. The reversal of 12440091312 is 21319004421.

It is a happy number.

12440091312 is a `hidden beast` number, since 124 + 400 + 9 + 131 + 2 = 666.

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 71 ways as a sum of consecutive naturals, for example, 17545614 + ... + 17546322.

It is an arithmetic number, because the mean of its divisors is an integer number (114165870).

Almost surely, 2^12440091312 is an apocalyptic number.

12440091312 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 12440091312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20549856600).

12440091312 is an abundant number, since it is smaller than the sum of its proper divisors (28659621888).

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

12440091312 is a wasteful number, since it uses less digits than its factorization.

12440091312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 12440091312 its reverse (21319004421), we get a palindrome (33759095733).

The spelling of 12440091312 in words is "twelve billion, four hundred forty million, ninety-one thousand, three hundred twelve".