12094168320 has 504 divisors, whose sum is σ = 46822100136. Its totient is φ = 2974040064.

The previous prime is 12094168319. The next prime is 12094168327. The reversal of 12094168320 is 2386149021.

12094168320 is a `hidden beast` number, since 1 + 209 + 416 + 8 + 32 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1254859776 + 10839308544 = 35424^2 + 104112^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12094168327) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 12130062 + ... + 12131058.

Almost surely, 2^12094168320 is an apocalyptic number.

12094168320 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 12094168320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23411050068).

12094168320 is an abundant number, since it is smaller than the sum of its proper divisors (34727931816).

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

12094168320 is an frugal number, since it uses more digits than its factorization.

12094168320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 12094168320 in words is "twelve billion, ninety-four million, one hundred sixty-eight thousand, three hundred twenty".