8122128 has 80 divisors (see below), whose sum is σ = 25046016. Its totient is φ = 2217600.

The previous prime is 8122123. The next prime is 8122133. The reversal of 8122128 is 8212218.

It is an interprime number because it is at equal distance from previous prime (8122123) and next prime (8122133).

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 an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 8122098 and 8122107.

It is not an unprimeable number, because it can be changed into a prime (8122123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7203 + ... + 8253.

Almost surely, 2^8122128 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 8122128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12523008).

8122128 is an abundant number, since it is smaller than the sum of its proper divisors (16923888).

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

8122128 is a wasteful number, since it uses less digits than its factorization.

8122128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1086 counting only the distinct ones).

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

The square root of 8122128 is about 2849.9347360948. The cubic root of 8122128 is about 201.0125979084.

The spelling of 8122128 in words is "eight million, one hundred twenty-two thousand, one hundred twenty-eight".