12144314131120 has 40 divisors (see below), whose sum is σ = 28235841696720. Its totient is φ = 4857672088320.

The previous prime is 12144314131111. The next prime is 12144314131121. The reversal of 12144314131120 is 2113141344121.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (12144314131121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6908851 + ... + 8486509.

It is an arithmetic number, because the mean of its divisors is an integer number (705896042418).

Almost surely, 2^{12144314131120} is an apocalyptic number.

12144314131120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12144314131120 is an abundant number, since it is smaller than the sum of its proper divisors (16091527565600).

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

12144314131120 is a wasteful number, since it uses less digits than its factorization.

12144314131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673893 (or 1673887 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 12144314131120 its reverse (2113141344121), we get a palindrome (14257455475241).

The spelling of 12144314131120 in words is "twelve trillion, one hundred forty-four billion, three hundred fourteen million, one hundred thirty-one thousand, one hundred twenty".