12143307413328 has 1440 divisors, whose sum is σ = 43963423660800. Its totient is φ = 2856694579200.

The previous prime is 12143307413327. The next prime is 12143307413387. The reversal of 12143307413328 is 82331470334121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 12143307413328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12143307413323) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 30282561928 + ... + 30282562328.

It is an arithmetic number, because the mean of its divisors is an integer number (30530155320).

Almost surely, 2^{12143307413328} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12143307413328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21981711830400).

12143307413328 is an abundant number, since it is smaller than the sum of its proper divisors (31820116247472).

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

12143307413328 is a wasteful number, since it uses less digits than its factorization.

12143307413328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

Adding to 12143307413328 its reverse (82331470334121), we get a palindrome (94474777747449).

The spelling of 12143307413328 in words is "twelve trillion, one hundred forty-three billion, three hundred seven million, four hundred thirteen thousand, three hundred twenty-eight".