12014784242144 has 96 divisors (see below), whose sum is σ = 24975490700160. Its totient is φ = 5673770150400.

The previous prime is 12014784242137. The next prime is 12014784242213. The reversal of 12014784242144 is 44124248741021.

It is a happy number.

12014784242144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×12014784242144³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12014784242095 and 12014784242104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268338479 + ... + 268383249.

It is an arithmetic number, because the mean of its divisors is an integer number (260161361460).

Almost surely, 2^{12014784242144} 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 12014784242144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12487745350080).

12014784242144 is an abundant number, since it is smaller than the sum of its proper divisors (12960706458016).

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

12014784242144 is a wasteful number, since it uses less digits than its factorization.

12014784242144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46144 (or 46136 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 44.

The spelling of 12014784242144 in words is "twelve trillion, fourteen billion, seven hundred eighty-four million, two hundred forty-two thousand, one hundred forty-four".