11285120 has 128 divisors (see below), whose sum is σ = 33782400. Its totient is φ = 3502080.

The previous prime is 11285117. The next prime is 11285129. The reversal of 11285120 is 2158211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11285092 and 11285101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11285129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49166 + ... + 49394.

It is an arithmetic number, because the mean of its divisors is an integer number (263925).

Almost surely, 2^11285120 is an apocalyptic number.

11285120 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 11285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16891200).

11285120 is an abundant number, since it is smaller than the sum of its proper divisors (22497280).

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

11285120 is a wasteful number, since it uses less digits than its factorization.

11285120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

The square root of 11285120 is about 3359.3332671826. Note that the first 3 decimals coincide. The cubic root of 11285120 is about 224.3031609463.

The spelling of 11285120 in words is "eleven million, two hundred eighty-five thousand, one hundred twenty".