12600166320 has 240 divisors, whose sum is σ = 48454398720. Its totient is φ = 2874456576.

The previous prime is 12600166277. The next prime is 12600166321. The reversal of 12600166320 is 2366100621.

12600166320 is a `hidden beast` number, since 1 + 26 + 0 + 0 + 1 + 6 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (12600166321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2956351 + ... + 2960609.

It is an arithmetic number, because the mean of its divisors is an integer number (201893328).

Almost surely, 2^12600166320 is an apocalyptic number.

12600166320 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 12600166320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24227199360).

12600166320 is an abundant number, since it is smaller than the sum of its proper divisors (35854232400).

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

12600166320 is a wasteful number, since it uses less digits than its factorization.

12600166320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4872 (or 4863 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 12600166320 its reverse (2366100621), we get a palindrome (14966266941).

The spelling of 12600166320 in words is "twelve billion, six hundred million, one hundred sixty-six thousand, three hundred twenty".