11275220 has 48 divisors (see below), whose sum is σ = 26345088. Its totient is φ = 4018560.

The previous prime is 11275219. The next prime is 11275223. The reversal of 11275220 is 2257211.

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 = 11275192 and 11275201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11275223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11177 + ... + 12143.

It is an arithmetic number, because the mean of its divisors is an integer number (548856).

Almost surely, 2^11275220 is an apocalyptic number.

11275220 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 11275220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13172544).

11275220 is an abundant number, since it is smaller than the sum of its proper divisors (15069868).

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

11275220 is a wasteful number, since it uses less digits than its factorization.

11275220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 11275220 is about 3357.8594372010. The cubic root of 11275220 is about 224.2375509230.

Subtracting from 11275220 its reverse (2257211), we obtain a square (9018009 = 3003²).

The spelling of 11275220 in words is "eleven million, two hundred seventy-five thousand, two hundred twenty".