11151216 has 80 divisors (see below), whose sum is σ = 32497920. Its totient is φ = 3660480.

The previous prime is 11151209. The next prime is 11151241. The reversal of 11151216 is 61215111.

It is a happy number.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 35701 + ... + 36011.

It is an arithmetic number, because the mean of its divisors is an integer number (406224).

Almost surely, 2^11151216 is an apocalyptic number.

11151216 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 11151216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16248960).

11151216 is an abundant number, since it is smaller than the sum of its proper divisors (21346704).

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

11151216 is a wasteful number, since it uses less digits than its factorization.

11151216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 399 counting only the distinct ones).

The product of its digits is 60, while the sum is 18.

The square root of 11151216 is about 3339.3436480842. The cubic root of 11151216 is about 223.4124696658.

Adding to 11151216 its reverse (61215111), we get a palindrome (72366327).

The spelling of 11151216 in words is "eleven million, one hundred fifty-one thousand, two hundred sixteen".