12123186768 has 480 divisors, whose sum is σ = 44286308352. Its totient is φ = 3004646400.

The previous prime is 12123186749. The next prime is 12123186791. The reversal of 12123186768 is 86768132121.

12123186768 is a `hidden beast` number, since 1 + 212 + 318 + 67 + 68 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 22408578 + ... + 22409118.

Almost surely, 2^12123186768 is an apocalyptic number.

12123186768 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 12123186768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22143154176).

12123186768 is an abundant number, since it is smaller than the sum of its proper divisors (32163121584).

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

12123186768 is a wasteful number, since it uses less digits than its factorization.

12123186768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 654 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

It can be divided in two parts, 12123 and 186768, that added together give a palindrome (198891).

The spelling of 12123186768 in words is "twelve billion, one hundred twenty-three million, one hundred eighty-six thousand, seven hundred sixty-eight".