8112111568000 has 256 divisors, whose sum is σ = 22303695098880. Its totient is φ = 2909445120000.

The previous prime is 8112111567977. The next prime is 8112111568019. The reversal of 8112111568000 is 8651112118.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12532305 + ... + 13163695.

It is an arithmetic number, because the mean of its divisors is an integer number (87123808980).

Almost surely, 2^{8112111568000} is an apocalyptic number.

8112111568000 is a gapful number since it is divisible by the number (80) 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 8112111568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11151847549440).

8112111568000 is an abundant number, since it is smaller than the sum of its proper divisors (14191583530880).

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

8112111568000 is a wasteful number, since it uses less digits than its factorization.

8112111568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631504 (or 631482 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 34.

The spelling of 8112111568000 in words is "eight trillion, one hundred twelve billion, one hundred eleven million, five hundred sixty-eight thousand".