11213424 has 80 divisors (see below), whose sum is σ = 32631840. Its totient is φ = 3686400.

The previous prime is 11213417. The next prime is 11213453. The reversal of 11213424 is 42431211.

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 junction number, because it is equal to n+sod(n) for n = 11213397 and 11213406.

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, 43504 + ... + 43760.

It is an arithmetic number, because the mean of its divisors is an integer number (407898).

Almost surely, 2^11213424 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 11213424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16315920).

11213424 is an abundant number, since it is smaller than the sum of its proper divisors (21418416).

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

11213424 is a wasteful number, since it uses less digits than its factorization.

11213424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 363 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 11213424 is about 3348.6450991408. The cubic root of 11213424 is about 223.8271413007.

Adding to 11213424 its reverse (42431211), we get a palindrome (53644635).

The spelling of 11213424 in words is "eleven million, two hundred thirteen thousand, four hundred twenty-four".