11859201 has 24 divisors (see below), whose sum is σ = 17694144. Its totient is φ = 7650720.

The previous prime is 11859187. The next prime is 11859233. The reversal of 11859201 is 10295811.

It is not a de Polignac number, because 11859201 - 2⁶ = 11859137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11859241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42675 + ... + 42951.

It is an arithmetic number, because the mean of its divisors is an integer number (737256).

Almost surely, 2^11859201 is an apocalyptic number.

It is an amenable number.

11859201 is a deficient number, since it is larger than the sum of its proper divisors (5834943).

11859201 is a wasteful number, since it uses less digits than its factorization.

11859201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 11859201 is about 3443.7190651968. The cubic root of 11859201 is about 228.0439089025.

It can be divided in two parts, 1185920 and 1, that added together give a 4-th power (1185921 = 33⁴).

The spelling of 11859201 in words is "eleven million, eight hundred fifty-nine thousand, two hundred one".