12111108768 has 576 divisors, whose sum is σ = 41570565120. Its totient is φ = 3421440000.

The previous prime is 12111108767. The next prime is 12111108797. The reversal of 12111108768 is 86780111121.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12111108767) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 119911918 + ... + 119912018.

It is an arithmetic number, because the mean of its divisors is an integer number (72171120).

Almost surely, 2^12111108768 is an apocalyptic number.

12111108768 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 12111108768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20785282560).

12111108768 is an abundant number, since it is smaller than the sum of its proper divisors (29459456352).

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

12111108768 is a wasteful number, since it uses less digits than its factorization.

12111108768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 36.

Adding to 12111108768 its reverse (86780111121), we get a palindrome (98891219889).

It can be divided in two parts, 121 and 11108768, that added together give a square (11108889 = 3333²).

The spelling of 12111108768 in words is "twelve billion, one hundred eleven million, one hundred eight thousand, seven hundred sixty-eight".