11201320 has 48 divisors (see below), whose sum is σ = 27307260. Its totient is φ = 4133376.

The previous prime is 11201303. The next prime is 11201321. The reversal of 11201320 is 2310211.

11201320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 586756 + 10614564 = 766^2 + 3258^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

11201320 is a modest number, since divided by 1320 gives 1120 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 11201297 and 11201306.

It is not an unprimeable number, because it can be changed into a prime (11201321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5932 + ... + 7588.

Almost surely, 2^11201320 is an apocalyptic number.

11201320 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 11201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13653630).

11201320 is an abundant number, since it is smaller than the sum of its proper divisors (16105940).

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

11201320 is a wasteful number, since it uses less digits than its factorization.

11201320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 11201320 is about 3346.8373130465. The cubic root of 11201320 is about 223.7465777698.

Adding to 11201320 its reverse (2310211), we get a palindrome (13511531).

The spelling of 11201320 in words is "eleven million, two hundred one thousand, three hundred twenty".