4128124 has 48 divisors (see below), whose sum is σ = 9709056. Its totient is φ = 1483200.

The previous prime is 4128119. The next prime is 4128133. The reversal of 4128124 is 4218214.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 4128095 and 4128104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3489 + ... + 4519.

It is an arithmetic number, because the mean of its divisors is an integer number (202272).

Almost surely, 2^4128124 is an apocalyptic number.

4128124 is a gapful number since it is divisible by the number (44) 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 4128124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4854528).

4128124 is an abundant number, since it is smaller than the sum of its proper divisors (5580932).

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

4128124 is a wasteful number, since it uses less digits than its factorization.

4128124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1064 counting only the distinct ones).

The product of its digits is 512, while the sum is 22.

The square root of 4128124 is about 2031.7785312381. The cubic root of 4128124 is about 160.4171924947.

The spelling of 4128124 in words is "four million, one hundred twenty-eight thousand, one hundred twenty-four".