12225173688 has 384 divisors, whose sum is σ = 44216565120. Its totient is φ = 2959441920.

The previous prime is 12225173687. The next prime is 12225173749. The reversal of 12225173688 is 88637152221.

12225173688 is a `hidden beast` number, since 1 + 2 + 22 + 517 + 36 + 88 = 666.

12225173688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12225173683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4565406 + ... + 4568082.

It is an arithmetic number, because the mean of its divisors is an integer number (115147305).

Almost surely, 2^12225173688 is an apocalyptic number.

12225173688 is a gapful number since it is divisible by the number (18) 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 12225173688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22108282560).

12225173688 is an abundant number, since it is smaller than the sum of its proper divisors (31991391432).

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

12225173688 is a wasteful number, since it uses less digits than its factorization.

12225173688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2767 (or 2760 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 12225173688 in words is "twelve billion, two hundred twenty-five million, one hundred seventy-three thousand, six hundred eighty-eight".