12144041042144 has 192 divisors, whose sum is σ = 27868951756800. Its totient is φ = 5154579763200.

The previous prime is 12144041042101. The next prime is 12144041042153. The reversal of 12144041042144 is 44124014044121.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 12144041042144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 556621124 + ... + 556642940.

It is an arithmetic number, because the mean of its divisors is an integer number (145150790400).

Almost surely, 2^{12144041042144} 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 12144041042144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13934475878400).

12144041042144 is an abundant number, since it is smaller than the sum of its proper divisors (15724910714656).

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

12144041042144 is a wasteful number, since it uses less digits than its factorization.

12144041042144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23657 (or 23649 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

Adding to 12144041042144 its reverse (44124014044121), we get a palindrome (56268055086265).

The spelling of 12144041042144 in words is "twelve trillion, one hundred forty-four billion, forty-one million, forty-two thousand, one hundred forty-four".