11353120 has 24 divisors (see below), whose sum is σ = 26822124. Its totient is φ = 4541184.

The previous prime is 11353087. The next prime is 11353129. The reversal of 11353120 is 2135311.

It can be written as a sum of positive squares in 2 ways, for example, as 10732176 + 620944 = 3276^2 + 788^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11353094 and 11353103.

It is not an unprimeable number, because it can be changed into a prime (11353129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35319 + ... + 35638.

Almost surely, 2^11353120 is an apocalyptic number.

11353120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11353120 is an abundant number, since it is smaller than the sum of its proper divisors (15469004).

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

11353120 is an equidigital number, since it uses as much as digits as its factorization.

11353120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70972 (or 70964 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 11353120 is about 3369.4391224653. The cubic root of 11353120 is about 224.7527819674.

Adding to 11353120 its reverse (2135311), we get a palindrome (13488431).

The spelling of 11353120 in words is "eleven million, three hundred fifty-three thousand, one hundred twenty".