11101200 has 180 divisors, whose sum is σ = 40177488. Its totient is φ = 2598400.

The previous prime is 11101199. The next prime is 11101217. The reversal of 11101200 is 210111.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 382786 + ... + 382814.

Almost surely, 2^11101200 is an apocalyptic number.

11101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20088744).

11101200 is an abundant number, since it is smaller than the sum of its proper divisors (29076288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11101200 is a wasteful number, since it uses less digits than its factorization.

11101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 11101200 is about 3331.8463349921. The cubic root of 11101200 is about 223.0779487132.

Adding to 11101200 its reverse (210111), we get a palindrome (11311311).

The spelling of 11101200 in words is "eleven million, one hundred one thousand, two hundred".