11004120 has 128 divisors (see below), whose sum is σ = 38361600. Its totient is φ = 2800512.

The previous prime is 11004109. The next prime is 11004127. The reversal of 11004120 is 2140011.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11004127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24619 + ... + 25061.

It is an arithmetic number, because the mean of its divisors is an integer number (299700).

Almost surely, 2^11004120 is an apocalyptic number.

11004120 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 11004120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19180800).

11004120 is an abundant number, since it is smaller than the sum of its proper divisors (27357480).

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

11004120 is a wasteful number, since it uses less digits than its factorization.

11004120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 11004120 is about 3317.2458455773. The cubic root of 11004120 is about 222.4257716456.

Adding to 11004120 its reverse (2140011), we get a palindrome (13144131).

The spelling of 11004120 in words is "eleven million, four thousand, one hundred twenty".