12194883740160 has 960 divisors, whose sum is σ = 46854097145856. Its totient is φ = 2906534707200.

The previous prime is 12194883740153. The next prime is 12194883740219. The reversal of 12194883740160 is 6104738849121.

12194883740160 is a `hidden beast` number, since 1 + 2 + 194 + 88 + 374 + 0 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×12194883740160³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12194883740097 and 12194883740106.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7085928100 + ... + 7085929820.

Almost surely, 2^{12194883740160} is an apocalyptic number.

12194883740160 is a gapful number since it is divisible by the number (10) 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 12194883740160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23427048572928).

12194883740160 is an abundant number, since it is smaller than the sum of its proper divisors (34659213405696).

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

12194883740160 is a wasteful number, since it uses less digits than its factorization.

12194883740160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2217 (or 2198 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 12194883740160 in words is "twelve trillion, one hundred ninety-four billion, eight hundred eighty-three million, seven hundred forty thousand, one hundred sixty".