11301120 has 180 divisors, whose sum is σ = 40808460. Its totient is φ = 2985984.

The previous prime is 11301109. The next prime is 11301127. The reversal of 11301120 is 2110311.

It can be written as a sum of positive squares in 2 ways, for example, as 5992704 + 5308416 = 2448^2 + 2304^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (11301127) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 103626 + ... + 103734.

Almost surely, 2^11301120 is an apocalyptic number.

11301120 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 11301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20404230).

11301120 is an abundant number, since it is smaller than the sum of its proper divisors (29507340).

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

11301120 is an equidigital number, since it uses as much as digits as its factorization.

11301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 11301120 is about 3361.7138486195. The cubic root of 11301120 is about 224.4091162758.

Adding to 11301120 its reverse (2110311), we get a palindrome (13411431).

The spelling of 11301120 in words is "eleven million, three hundred one thousand, one hundred twenty".