11225520 has 80 divisors (see below), whose sum is σ = 38673120. Its totient is φ = 2992896.

The previous prime is 11225509. The next prime is 11225531. The reversal of 11225520 is 2552211.

11225520 is a `hidden beast` number, since 112 + 2 + 552 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11225509) and next prime (11225531).

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 11225493 and 11225502.

It is an unprimeable number.

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, 439 + ... + 4758.

It is an arithmetic number, because the mean of its divisors is an integer number (483414).

Almost surely, 2^11225520 is an apocalyptic number.

11225520 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 11225520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19336560).

11225520 is an abundant number, since it is smaller than the sum of its proper divisors (27447600).

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

11225520 is a wasteful number, since it uses less digits than its factorization.

11225520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5219 (or 5207 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 11225520 is about 3350.4507159485. The cubic root of 11225520 is about 223.9075936878.

Adding to 11225520 its reverse (2552211), we get a palindrome (13777731).

It can be divided in two parts, 1122 and 5520, that multiplied together give a triangular number (6193440 = T₃₅₁₉).

The spelling of 11225520 in words is "eleven million, two hundred twenty-five thousand, five hundred twenty".