128967201 has 32 divisors (see below), whose sum is σ = 212889600. Its totient is φ = 76490640.

The previous prime is 128967197. The next prime is 128967217. The reversal of 128967201 is 102769821.

It is not a de Polignac number, because 128967201 - 2² = 128967197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (128967271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9340 + ... + 18578.

It is an arithmetic number, because the mean of its divisors is an integer number (6652800).

Almost surely, 2^128967201 is an apocalyptic number.

128967201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

128967201 is a deficient number, since it is larger than the sum of its proper divisors (83922399).

128967201 is a wasteful number, since it uses less digits than its factorization.

128967201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9306 (or 9300 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 128967201 is about 11356.3727043453. The cubic root of 128967201 is about 505.2346078492.

The spelling of 128967201 in words is "one hundred twenty-eight million, nine hundred sixty-seven thousand, two hundred one".