12117334284144 has 80 divisors (see below), whose sum is σ = 34956017632000. Its totient is φ = 4018814357184.

The previous prime is 12117334284091. The next prime is 12117334284283. The reversal of 12117334284144 is 44148243371121.

12117334284144 is a `hidden beast` number, since 1 + 2 + 11 + 73 + 3 + 428 + 4 + 144 = 666.

12117334284144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12117334284144.

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, 70389874 + ... + 70561809.

It is an arithmetic number, because the mean of its divisors is an integer number (436950220400).

Almost surely, 2^{12117334284144} is an apocalyptic number.

It is an amenable number.

12117334284144 is an abundant number, since it is smaller than the sum of its proper divisors (22838683347856).

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

12117334284144 is a wasteful number, since it uses less digits than its factorization.

12117334284144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140951899 (or 140951887 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The spelling of 12117334284144 in words is "twelve trillion, one hundred seventeen billion, three hundred thirty-four million, two hundred eighty-four thousand, one hundred forty-four".