11212128 has 96 divisors (see below), whose sum is σ = 34473600. Its totient is φ = 3535488.

The previous prime is 11212127. The next prime is 11212141. The reversal of 11212128 is 82121211.

It is a tau number, because it is divible by the number of its divisors (96).

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.

It is a self number, because there is not a number n which added to its sum of digits gives 11212128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11212127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16075 + ... + 16757.

It is an arithmetic number, because the mean of its divisors is an integer number (359100).

Almost surely, 2^11212128 is an apocalyptic number.

11212128 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 11212128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17236800).

11212128 is an abundant number, since it is smaller than the sum of its proper divisors (23261472).

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

11212128 is a wasteful number, since it uses less digits than its factorization.

11212128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 707 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

The square root of 11212128 is about 3348.4515824482. The cubic root of 11212128 is about 223.8185179712.

Adding to 11212128 its reverse (82121211), we get a palindrome (93333339).

It can be divided in two parts, 1121 and 2128, that added together give a square (3249 = 57²).

The spelling of 11212128 in words is "eleven million, two hundred twelve thousand, one hundred twenty-eight".