11121040 has 60 divisors (see below), whose sum is σ = 30088476. Its totient is φ = 3811584.

The previous prime is 11121037. The next prime is 11121041. The reversal of 11121040 is 4012111.

It can be written as a sum of positive squares in 2 ways, for example, as 1806336 + 9314704 = 1344^2 + 3052^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (11121041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2502 + ... + 5338.

Almost surely, 2^11121040 is an apocalyptic number.

11121040 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 11121040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15044238).

11121040 is an abundant number, since it is smaller than the sum of its proper divisors (18967436).

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

11121040 is a wasteful number, since it uses less digits than its factorization.

11121040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2864 (or 2851 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 11121040 is about 3334.8223340982. The cubic root of 11121040 is about 223.2107641593.

Adding to 11121040 its reverse (4012111), we get a palindrome (15133151).

The spelling of 11121040 in words is "eleven million, one hundred twenty-one thousand, forty".