11122560 has 96 divisors (see below), whose sum is σ = 38427480. Its totient is φ = 2964480.

The previous prime is 11122519. The next prime is 11122561. The reversal of 11122560 is 6522111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11122560² = 247422681907200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11122561) 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 11 ways as a sum of consecutive naturals, for example, 4795 + ... + 6725.

Almost surely, 2^11122560 is an apocalyptic number.

11122560 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 11122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19213740).

11122560 is an abundant number, since it is smaller than the sum of its proper divisors (27304920).

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

11122560 is a wasteful number, since it uses less digits than its factorization.

11122560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 11122560 is about 3335.0502245094. The cubic root of 11122560 is about 223.2209330196.

Adding to 11122560 its reverse (6522111), we get a palindrome (17644671).

The spelling of 11122560 in words is "eleven million, one hundred twenty-two thousand, five hundred sixty".