12315141440 has 112 divisors (see below), whose sum is σ = 33840797952. Its totient is φ = 4181262336.

The previous prime is 12315141431. The next prime is 12315141451. The reversal of 12315141440 is 4414151321.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204032 + ... + 257408.

Almost surely, 2^12315141440 is an apocalyptic number.

12315141440 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 12315141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16920398976).

12315141440 is an abundant number, since it is smaller than the sum of its proper divisors (21525656512).

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

12315141440 is a wasteful number, since it uses less digits than its factorization.

12315141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53504 (or 53494 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 12315141440 its reverse (4414151321), we get a palindrome (16729292761).

The spelling of 12315141440 in words is "twelve billion, three hundred fifteen million, one hundred forty-one thousand, four hundred forty".