11213120 has 56 divisors (see below), whose sum is σ = 27151584. Its totient is φ = 4409856.

The previous prime is 11213117. The next prime is 11213123. The reversal of 11213120 is 2131211.

It is an interprime number because it is at equal distance from previous prime (11213117) and next prime (11213123).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11213123) 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, 21179 + ... + 21701.

Almost surely, 2^11213120 is an apocalyptic number.

11213120 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 11213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13575792).

11213120 is an abundant number, since it is smaller than the sum of its proper divisors (15938464).

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

11213120 is an equidigital number, since it uses as much as digits as its factorization.

11213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 11213120 is about 3348.5997073404. The cubic root of 11213120 is about 223.8251186041.

Adding to 11213120 its reverse (2131211), we get a palindrome (13344331).

It can be divided in two parts, 1 and 1213120, that added together give a palindrome (1213121).

The spelling of 11213120 in words is "eleven million, two hundred thirteen thousand, one hundred twenty".