12323142144 has 320 divisors, whose sum is σ = 38448432000. Its totient is φ = 3891363840.

The previous prime is 12323142133. The next prime is 12323142149. The reversal of 12323142144 is 44124132321.

12323142144 is a `hidden beast` number, since 1 + 2 + 3 + 231 + 421 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (12323142149) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 23652604 + ... + 23653124.

It is an arithmetic number, because the mean of its divisors is an integer number (120151350).

Almost surely, 2^12323142144 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 12323142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19224216000).

12323142144 is an abundant number, since it is smaller than the sum of its proper divisors (26125289856).

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

12323142144 is an equidigital number, since it uses as much as digits as its factorization.

12323142144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 614 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 12323142144 its reverse (44124132321), we get a palindrome (56447274465).

The spelling of 12323142144 in words is "twelve billion, three hundred twenty-three million, one hundred forty-two thousand, one hundred forty-four".