128201193 has 12 divisors (see below), whose sum is σ = 185281668. Its totient is φ = 85420320.

The previous prime is 128201153. The next prime is 128201237. The reversal of 128201193 is 391102821.

It can be written as a sum of positive squares in 2 ways, for example, as 56070144 + 72131049 = 7488^2 + 8493^2 .

It is not a de Polignac number, because 128201193 - 2¹⁰ = 128200169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (128201123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23023 + ... + 28043.

It is an arithmetic number, because the mean of its divisors is an integer number (15440139).

Almost surely, 2^128201193 is an apocalyptic number.

It is an amenable number.

128201193 is a deficient number, since it is larger than the sum of its proper divisors (57080475).

128201193 is a wasteful number, since it uses less digits than its factorization.

128201193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7864 (or 7861 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 128201193 is about 11322.5965661592. The cubic root of 128201193 is about 504.2323309991.

The spelling of 128201193 in words is "one hundred twenty-eight million, two hundred one thousand, one hundred ninety-three".