11216128 has 72 divisors (see below), whose sum is σ = 27961920. Its totient is φ = 4362240.

The previous prime is 11216123. The next prime is 11216147. The reversal of 11216128 is 82161211.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 11216099 and 11216108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11216123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19428 + ... + 19996.

It is an arithmetic number, because the mean of its divisors is an integer number (388360).

Almost surely, 2^11216128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11216128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13980960).

11216128 is an abundant number, since it is smaller than the sum of its proper divisors (16745792).

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

11216128 is an equidigital number, since it uses as much as digits as its factorization.

11216128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 589 counting only the distinct ones).

The product of its digits is 192, while the sum is 22.

The square root of 11216128 is about 3349.0488201876. The cubic root of 11216128 is about 223.8451310467.

Adding to 11216128 its reverse (82161211), we get a palindrome (93377339).

It can be divided in two parts, 112 and 16128, that multiplied together give a square (1806336 = 1344²).

The spelling of 11216128 in words is "eleven million, two hundred sixteen thousand, one hundred twenty-eight".