12311302201440 has 384 divisors, whose sum is σ = 44572811673600. Its totient is φ = 2824932464640.

The previous prime is 12311302201439. The next prime is 12311302201477. The reversal of 12311302201440 is 4410220311321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12311302201440.

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 63 ways as a sum of consecutive naturals, for example, 112604721 + ... + 112713999.

It is an arithmetic number, because the mean of its divisors is an integer number (116075030400).

Almost surely, 2^{12311302201440} is an apocalyptic number.

12311302201440 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 12311302201440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22286405836800).

12311302201440 is an abundant number, since it is smaller than the sum of its proper divisors (32261509472160).

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

12311302201440 is a wasteful number, since it uses less digits than its factorization.

12311302201440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110450 (or 110442 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12311302201440 its reverse (4410220311321), we get a palindrome (16721522512761).

The spelling of 12311302201440 in words is "twelve trillion, three hundred eleven billion, three hundred two million, two hundred one thousand, four hundred forty".