8128211112 has 128 divisors (see below), whose sum is σ = 25832217600. Its totient is φ = 2319793344.

The previous prime is 8128211111. The next prime is 8128211123. The reversal of 8128211112 is 2111128218.

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

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

It is not an unprimeable number, because it can be changed into a prime (8128211111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1695583 + ... + 1700369.

It is an arithmetic number, because the mean of its divisors is an integer number (201814200).

Almost surely, 2^8128211112 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 8128211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12916108800).

8128211112 is an abundant number, since it is smaller than the sum of its proper divisors (17704006488).

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

8128211112 is a wasteful number, since it uses less digits than its factorization.

8128211112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5932 (or 5922 counting only the distinct ones).

The product of its digits is 512, while the sum is 27.

The square root of 8128211112 is about 90156.5921716210. The cubic root of 8128211112 is about 2010.6276854532.

The spelling of 8128211112 in words is "eight billion, one hundred twenty-eight million, two hundred eleven thousand, one hundred twelve".