8212222128 has 160 divisors (see below), whose sum is σ = 24263447040. Its totient is φ = 2369157120.

The previous prime is 8212222103. The next prime is 8212222129.

8212222128 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×8212222128² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 8212222095 and 8212222104.

It is not an unprimeable number, because it can be changed into a prime (8212222129) 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, 2779500 + ... + 2782452.

It is an arithmetic number, because the mean of its divisors is an integer number (151646544).

Almost surely, 2^8212222128 is an apocalyptic number.

8212222128 is a gapful number since it is divisible by the number (88) 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 8212222128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12131723520).

8212222128 is an abundant number, since it is smaller than the sum of its proper divisors (16051224912).

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

8212222128 is a wasteful number, since it uses less digits than its factorization.

8212222128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3227 (or 3221 counting only the distinct ones).

The product of its digits is 4096, while the sum is 30.

The square root of 8212222128 is about 90621.3116656341. The cubic root of 8212222128 is about 2017.5310593162.

The spelling of 8212222128 in words is "eight billion, two hundred twelve million, two hundred twenty-two thousand, one hundred twenty-eight".