4128120 has 48 divisors (see below), whose sum is σ = 13417560. Its totient is φ = 1100736.

The previous prime is 4128119. The next prime is 4128133. The reversal of 4128120 is 218214.

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

It is a junction number, because it is equal to n+sod(n) for n = 4128093 and 4128102.

It is a congruent number.

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, 5374 + ... + 6093.

Almost surely, 2^4128120 is an apocalyptic number.

4128120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4128120 is an abundant number, since it is smaller than the sum of its proper divisors (9289440).

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

4128120 is a wasteful number, since it uses less digits than its factorization.

4128120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11484 (or 11477 counting only the distinct ones).

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

The square root of 4128120 is about 2031.7775468786. Note that the first 3 decimals coincide. The cubic root of 4128120 is about 160.4171406819.

The spelling of 4128120 in words is "four million, one hundred twenty-eight thousand, one hundred twenty".