11121840 has 160 divisors (see below), whose sum is σ = 40473600. Its totient is φ = 2799360.

The previous prime is 11121823. The next prime is 11121841. The reversal of 11121840 is 4812111.

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

It is not an unprimeable number, because it can be changed into a prime (11121841) 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 31 ways as a sum of consecutive naturals, for example, 40905 + ... + 41175.

It is an arithmetic number, because the mean of its divisors is an integer number (252960).

Almost surely, 2^11121840 is an apocalyptic number.

11121840 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 11121840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20236800).

11121840 is an abundant number, since it is smaller than the sum of its proper divisors (29351760).

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

11121840 is a wasteful number, since it uses less digits than its factorization.

11121840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 11121840 is about 3334.9422783611. The cubic root of 11121840 is about 223.2161163065.

Adding to 11121840 its reverse (4812111), we get a palindrome (15933951).

The spelling of 11121840 in words is "eleven million, one hundred twenty-one thousand, eight hundred forty".