12144131120 has 240 divisors, whose sum is σ = 32690970144. Its totient is φ = 4186828800.

The previous prime is 12144131119. The next prime is 12144131149. The reversal of 12144131120 is 2113144121.

12144131120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12144131092 and 12144131101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14684147 + ... + 14684973.

Almost surely, 2^12144131120 is an apocalyptic number.

12144131120 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 12144131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16345485072).

12144131120 is an abundant number, since it is smaller than the sum of its proper divisors (20546839024).

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

12144131120 is a wasteful number, since it uses less digits than its factorization.

12144131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 12144131120 its reverse (2113144121), we get a palindrome (14257275241).

The spelling of 12144131120 in words is "twelve billion, one hundred forty-four million, one hundred thirty-one thousand, one hundred twenty".