11223120 has 80 divisors (see below), whose sum is σ = 35212032. Its totient is φ = 2956800.

The previous prime is 11223109. The next prime is 11223131. The reversal of 11223120 is 2132211.

It is an interprime number because it is at equal distance from previous prime (11223109) and next prime (11223131).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11223096 and 11223105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24009 + ... + 24471.

Almost surely, 2^11223120 is an apocalyptic number.

11223120 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 11223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17606016).

11223120 is an abundant number, since it is smaller than the sum of its proper divisors (23988912).

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

11223120 is a wasteful number, since it uses less digits than its factorization.

11223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 11223120 is about 3350.0925360354. The cubic root of 11223120 is about 223.8916355101.

Adding to 11223120 its reverse (2132211), we get a palindrome (13355331).

Subtracting from 11223120 its reverse (2132211), we obtain a palindrome (9090909).

It can be divided in two parts, 112 and 23120, that added together give a palindrome (23232).

The spelling of 11223120 in words is "eleven million, two hundred twenty-three thousand, one hundred twenty".