11229520 has 80 divisors (see below), whose sum is σ = 28926720. Its totient is φ = 4032512.

The previous prime is 11229511. The next prime is 11229521. The reversal of 11229520 is 2592211.

11229520 = T₁₆₀ + T₁₆₁ + ... + T₄₁₄.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×11229520² = 252204238860800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11229491 and 11229500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11229521) 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, 31101 + ... + 31459.

It is an arithmetic number, because the mean of its divisors is an integer number (361584).

Almost surely, 2^11229520 is an apocalyptic number.

11229520 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 11229520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14463360).

11229520 is an abundant number, since it is smaller than the sum of its proper divisors (17697200).

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

11229520 is a wasteful number, since it uses less digits than its factorization.

11229520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 11229520 is about 3351.0475973940. The cubic root of 11229520 is about 223.9341855967.

The spelling of 11229520 in words is "eleven million, two hundred twenty-nine thousand, five hundred twenty".