11133216 has 144 divisors (see below), whose sum is σ = 34594560. Its totient is φ = 3386880.

The previous prime is 11133211. The next prime is 11133217. The reversal of 11133216 is 61233111.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

Its product of digits (108) is a multiple of the sum of its prime divisors (108).

It is not an unprimeable number, because it can be changed into a prime (11133211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258891 + ... + 258933.

It is an arithmetic number, because the mean of its divisors is an integer number (240240).

Almost surely, 2^11133216 is an apocalyptic number.

11133216 is a gapful number since it is divisible by the number (16) 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 11133216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17297280).

11133216 is an abundant number, since it is smaller than the sum of its proper divisors (23461344).

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

11133216 is a wasteful number, since it uses less digits than its factorization.

11133216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 108 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 11133216 is about 3336.6474191919. The cubic root of 11133216 is about 223.2921960814.

Adding to 11133216 its reverse (61233111), we get a palindrome (72366327).

The spelling of 11133216 in words is "eleven million, one hundred thirty-three thousand, two hundred sixteen".