12286168600 has 96 divisors (see below), whose sum is σ = 30742005600. Its totient is φ = 4549478400.

The previous prime is 12286168561. The next prime is 12286168603. The reversal of 12286168600 is 686168221.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12286168603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177781 + ... + 237019.

It is an arithmetic number, because the mean of its divisors is an integer number (320229225).

Almost surely, 2^12286168600 is an apocalyptic number.

12286168600 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 12286168600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15371002800).

12286168600 is an abundant number, since it is smaller than the sum of its proper divisors (18455837000).

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

12286168600 is a wasteful number, since it uses less digits than its factorization.

12286168600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59333 (or 59324 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The spelling of 12286168600 in words is "twelve billion, two hundred eighty-six million, one hundred sixty-eight thousand, six hundred".