4120128 has 84 divisors (see below), whose sum is σ = 12362688. Its totient is φ = 1309440.

The previous prime is 4120111. The next prime is 4120133. The reversal of 4120128 is 8210214.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 4120128.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13093 + ... + 13403.

Almost surely, 2^4120128 is an apocalyptic number.

4120128 is a gapful number since it is divisible by the number (48) 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 4120128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6181344).

4120128 is an abundant number, since it is smaller than the sum of its proper divisors (8242560).

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

4120128 is a wasteful number, since it uses less digits than its factorization.

4120128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 4120128 is about 2029.8098433105. The cubic root of 4120128 is about 160.3135517982.

The spelling of 4120128 in words is "four million, one hundred twenty thousand, one hundred twenty-eight".