128011 has 8 divisors (see below), whose sum is σ = 141680. Its totient is φ = 114912.

The previous prime is 127997. The next prime is 128021. The reversal of 128011 is 110821.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 128011 - 2⁵ = 127979 is a prime.

It is a super-2 number, since 2×128011² = 32773632242, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 127982 and 128000.

It is not an unprimeable number, because it can be changed into a prime (128021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 445 + ... + 673.

It is an arithmetic number, because the mean of its divisors is an integer number (17710).

2¹²⁸⁰¹¹ is an apocalyptic number.

128011 is a deficient number, since it is larger than the sum of its proper divisors (13669).

128011 is a wasteful number, since it uses less digits than its factorization.

128011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285.

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 128011 is about 357.7862490370. The cubic root of 128011 is about 50.3982856140.

Adding to 128011 its reverse (110821), we get a palindrome (238832).

The spelling of 128011 in words is "one hundred twenty-eight thousand, eleven".