4122756 has 72 divisors (see below), whose sum is σ = 11793600. Its totient is φ = 1202880.

The previous prime is 4122751. The next prime is 4122779. The reversal of 4122756 is 6572214.

4122756 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

4122756 is a nontrivial binomial coefficient, being equal to C(2872, 2).

It is not an unprimeable number, because it can be changed into a prime (4122751) 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 23 ways as a sum of consecutive naturals, for example, 11305 + ... + 11663.

It is an arithmetic number, because the mean of its divisors is an integer number (163800).

Almost surely, 2^4122756 is an apocalyptic number.

4122756 is the 2871-st triangular number and also the 1436-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4122756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5896800).

4122756 is an abundant number, since it is smaller than the sum of its proper divisors (7670844).

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

4122756 is a wasteful number, since it uses less digits than its factorization.

4122756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 404 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 4122756 is about 2030.4570913959. The cubic root of 4122756 is about 160.3476295801.

It can be divided in two parts, 4 and 122756, that added together give a triangular number (122760 = T₄₉₅).

The spelling of 4122756 in words is "four million, one hundred twenty-two thousand, seven hundred fifty-six".