12300806160 has 480 divisors, whose sum is σ = 44039324160. Its totient is φ = 3073536000.

The previous prime is 12300806117. The next prime is 12300806173. The reversal of 12300806160 is 6160800321.

12300806160 is a `hidden beast` number, since 12 + 30 + 0 + 8 + 0 + 616 + 0 = 666.

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, 121790110 + ... + 121790210.

It is an arithmetic number, because the mean of its divisors is an integer number (91748592).

Almost surely, 2^12300806160 is an apocalyptic number.

12300806160 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 12300806160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22019662080).

12300806160 is an abundant number, since it is smaller than the sum of its proper divisors (31738518000).

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

12300806160 is a wasteful number, since it uses less digits than its factorization.

12300806160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 12300806160 in words is "twelve billion, three hundred million, eight hundred six thousand, one hundred sixty".