8023127112 has 1152 divisors, whose sum is σ = 33462374400. Its totient is φ = 1763596800.

The previous prime is 8023127111. The next prime is 8023127129. The reversal of 8023127112 is 2117213208.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (8023127111) 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 287 ways as a sum of consecutive naturals, for example, 258810537 + ... + 258810567.

It is an arithmetic number, because the mean of its divisors is an integer number (29047200).

Almost surely, 2^8023127112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8023127112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16731187200).

8023127112 is an abundant number, since it is smaller than the sum of its proper divisors (25439247288).

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

8023127112 is a wasteful number, since it uses less digits than its factorization.

8023127112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 8023127112 is about 89571.9102844190. The cubic root of 8023127112 is about 2001.9254051460.

The spelling of 8023127112 in words is "eight billion, twenty-three million, one hundred twenty-seven thousand, one hundred twelve".