12431024144 has 160 divisors (see below), whose sum is σ = 30578995200. Its totient is φ = 4755179520.

The previous prime is 12431024131. The next prime is 12431024173. The reversal of 12431024144 is 44142013421.

It is a super-2 number, since 2×12431024144² (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 32799347 + ... + 32799725.

It is an arithmetic number, because the mean of its divisors is an integer number (191118720).

Almost surely, 2^12431024144 is an apocalyptic number.

12431024144 is a gapful number since it is divisible by the number (14) 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 12431024144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15289497600).

12431024144 is an abundant number, since it is smaller than the sum of its proper divisors (18147971056).

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

12431024144 is a wasteful number, since it uses less digits than its factorization.

12431024144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 12431024144 its reverse (44142013421), we get a palindrome (56573037565).

The spelling of 12431024144 in words is "twelve billion, four hundred thirty-one million, twenty-four thousand, one hundred forty-four".