11179201 has 16 divisors (see below), whose sum is σ = 13003200. Its totient is φ = 9504000.

The previous prime is 11179199. The next prime is 11179229. The reversal of 11179201 is 10297111.

It is not a de Polignac number, because 11179201 - 2¹ = 11179199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11179241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18301 + ... + 18901.

It is an arithmetic number, because the mean of its divisors is an integer number (812700).

Almost surely, 2^11179201 is an apocalyptic number.

11179201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11179201 is a deficient number, since it is larger than the sum of its proper divisors (1823999).

11179201 is a wasteful number, since it uses less digits than its factorization.

With its successor (11179202) it forms an eRAP, since the sums of their prime factors are consecutive (720 and 721).

11179201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720.

The product of its (nonzero) digits is 126, while the sum is 22.

The square root of 11179201 is about 3343.5312171415. The cubic root of 11179201 is about 223.5992049088.

The spelling of 11179201 in words is "eleven million, one hundred seventy-nine thousand, two hundred one".