11199888 has 120 divisors (see below), whose sum is σ = 36830976. Its totient is φ = 3110400.

The previous prime is 11199869. The next prime is 11199899. The reversal of 11199888 is 88899111.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (41472) is a multiple of the sum of its prime divisors (324).

It is a zygodrome in base 10.

It is an unprimeable number.

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, 41193 + ... + 41463.

Almost surely, 2^11199888 is an apocalyptic number.

11199888 is a gapful number since it is divisible by the number (18) 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 11199888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18415488).

11199888 is an abundant number, since it is smaller than the sum of its proper divisors (25631088).

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

11199888 is a wasteful number, since it uses less digits than its factorization.

11199888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 324 counting only the distinct ones).

The product of its digits is 41472, while the sum is 45.

The square root of 11199888 is about 3346.6233728939. The cubic root of 11199888 is about 223.7370426212.

It can be divided in two parts, 111 and 99888, that added together give a palindrome (99999).

The spelling of 11199888 in words is "eleven million, one hundred ninety-nine thousand, eight hundred eighty-eight".