12432126942144 has 672 divisors, whose sum is σ = 46500301411200. Its totient is φ = 3081769058304.

The previous prime is 12432126942143. The next prime is 12432126942149. The reversal of 12432126942144 is 44124962123421.

12432126942144 is a `hidden beast` number, since 1 + 2 + 4 + 3 + 212 + 6 + 9 + 421 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12432126942144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12432126942143) 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 95 ways as a sum of consecutive naturals, for example, 688789632 + ... + 688807680.

It is an arithmetic number, because the mean of its divisors is an integer number (69196877100).

Almost surely, 2^{12432126942144} is an apocalyptic number.

12432126942144 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 12432126942144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23250150705600).

12432126942144 is an abundant number, since it is smaller than the sum of its proper divisors (34068174469056).

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

12432126942144 is a wasteful number, since it uses less digits than its factorization.

12432126942144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18877 (or 18864 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 12432126942144 in words is "twelve trillion, four hundred thirty-two billion, one hundred twenty-six million, nine hundred forty-two thousand, one hundred forty-four".