11213280 has 144 divisors (see below), whose sum is σ = 41277600. Its totient is φ = 2755584.

The previous prime is 11213233. The next prime is 11213281. The reversal of 11213280 is 8231211.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (11213281) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 18421 + ... + 19019.

It is an arithmetic number, because the mean of its divisors is an integer number (286650).

Almost surely, 2^11213280 is an apocalyptic number.

11213280 is a gapful number since it is divisible by the number (10) 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 11213280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20638800).

11213280 is an abundant number, since it is smaller than the sum of its proper divisors (30064320).

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

11213280 is a wasteful number, since it uses less digits than its factorization.

11213280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 11213280 is about 3348.6235978384. The cubic root of 11213280 is about 223.8261831858.

Adding to 11213280 its reverse (8231211), we get a palindrome (19444491).

The spelling of 11213280 in words is "eleven million, two hundred thirteen thousand, two hundred eighty".