7122128 has 40 divisors (see below), whose sum is σ = 15056328. Its totient is φ = 3244032.

The previous prime is 7122121. The next prime is 7122149. The reversal of 7122128 is 8212217.

It can be written as a sum of positive squares in 4 ways, for example, as 110224 + 7011904 = 332^2 + 2648^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7122121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20000 + ... + 20352.

Almost surely, 2^7122128 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 7122128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7528164).

7122128 is an abundant number, since it is smaller than the sum of its proper divisors (7934200).

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

7122128 is a wasteful number, since it uses less digits than its factorization.

7122128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 465 counting only the distinct ones).

The product of its digits is 448, while the sum is 23.

The square root of 7122128 is about 2668.7315338940. The cubic root of 7122128 is about 192.3991983634.

The spelling of 7122128 in words is "seven million, one hundred twenty-two thousand, one hundred twenty-eight".