11219120 has 120 divisors (see below), whose sum is σ = 30675120. Its totient is φ = 3801600.

The previous prime is 11219119. The next prime is 11219123. The reversal of 11219120 is 2191211.

It is not an unprimeable number, because it can be changed into a prime (11219123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183890 + ... + 183950.

It is an arithmetic number, because the mean of its divisors is an integer number (255626).

Almost surely, 2^11219120 is an apocalyptic number.

11219120 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 11219120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15337560).

11219120 is an abundant number, since it is smaller than the sum of its proper divisors (19456000).

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

11219120 is a wasteful number, since it uses less digits than its factorization.

11219120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

The square root of 11219120 is about 3349.4954843976. The cubic root of 11219120 is about 223.8650334910.

It can be divided in two parts, 112191 and 20, that added together give a palindrome (112211).

The spelling of 11219120 in words is "eleven million, two hundred nineteen thousand, one hundred twenty".