11121120 has 72 divisors (see below), whose sum is σ = 37955736. Its totient is φ = 2965248.

The previous prime is 11121083. The next prime is 11121139. The reversal of 11121120 is 2112111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 2422 + ... + 5301.

It is an arithmetic number, because the mean of its divisors is an integer number (527163).

Almost surely, 2^11121120 is an apocalyptic number.

11121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11121120 is an abundant number, since it is smaller than the sum of its proper divisors (26834616).

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

11121120 is a wasteful number, since it uses less digits than its factorization.

11121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7744 (or 7733 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 11121120 is about 3334.8343287186. The cubic root of 11121120 is about 223.2112993856.

Adding to 11121120 its reverse (2112111), we get a palindrome (13233231).

Subtracting from 11121120 its reverse (2112111), we obtain a palindrome (9009009).

The spelling of 11121120 in words is "eleven million, one hundred twenty-one thousand, one hundred twenty".