8212442128 has 80 divisors (see below), whose sum is σ = 17962278912. Its totient is φ = 3603600000.

The previous prime is 8212442113. The next prime is 8212442149.

8212442128 is nontrivially palindromic in base 10.

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 = 8212442093 and 8212442102.

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 15 ways as a sum of consecutive naturals, for example, 2524503 + ... + 2527753.

Almost surely, 2^8212442128 is an apocalyptic number.

8212442128 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 8212442128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8981139456).

8212442128 is an abundant number, since it is smaller than the sum of its proper divisors (9749836784).

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

8212442128 is a wasteful number, since it uses less digits than its factorization.

8212442128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3764 (or 3758 counting only the distinct ones).

The product of its digits is 16384, while the sum is 34.

The square root of 8212442128 is about 90622.5255000102. The cubic root of 8212442128 is about 2017.5490752629.

The spelling of 8212442128 in words is "eight billion, two hundred twelve million, four hundred forty-two thousand, one hundred twenty-eight".