8212128 has 48 divisors (see below), whose sum is σ = 21754656. Its totient is φ = 2712320.

The previous prime is 8212109. The next prime is 8212147.

8212128 is nontrivially palindromic in base 10.

8212128 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8212109) and next prime (8212147).

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 = 8212098 and 8212107.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12250 + ... + 12902.

It is an arithmetic number, because the mean of its divisors is an integer number (453222).

Almost surely, 2^8212128 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 8212128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10877328).

8212128 is an abundant number, since it is smaller than the sum of its proper divisors (13542528).

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

8212128 is a wasteful number, since it uses less digits than its factorization.

8212128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 789 counting only the distinct ones).

The product of its digits is 512, while the sum is 24.

The square root of 8212128 is about 2865.6810708800. The cubic root of 8212128 is about 201.7523351013.

The spelling of 8212128 in words is "eight million, two hundred twelve thousand, one hundred twenty-eight".