11205120 has 80 divisors (see below), whose sum is σ = 35845920. Its totient is φ = 2985984.

The previous prime is 11205119. The next prime is 11205121. The reversal of 11205120 is 2150211.

It is an interprime number because it is at equal distance from previous prime (11205119) and next prime (11205121).

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 zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 11205096 and 11205105.

It is not an unprimeable number, because it can be changed into a prime (11205121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6951 + ... + 8409.

It is an arithmetic number, because the mean of its divisors is an integer number (448074).

Almost surely, 2^11205120 is an apocalyptic number.

11205120 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 11205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17922960).

11205120 is an abundant number, since it is smaller than the sum of its proper divisors (24640800).

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

11205120 is an equidigital number, since it uses as much as digits as its factorization.

11205120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 11205120 is about 3347.4049650438. The cubic root of 11205120 is about 223.7718765997.

Adding to 11205120 its reverse (2150211), we get a palindrome (13355331).

It can be divided in two parts, 11205 and 120, that added together give a triangular number (11325 = T₁₅₀).

The spelling of 11205120 in words is "eleven million, two hundred five thousand, one hundred twenty".