11004405120 has 128 divisors (see below), whose sum is σ = 38973996000. Its totient is φ = 2934503424.

The previous prime is 11004405109. The next prime is 11004405121. The reversal of 11004405120 is 2150440011.

11004405120 is a `hidden beast` number, since 1 + 100 + 440 + 5 + 120 = 666.

11004405120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 11004405093 and 11004405102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11004405121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 301135 + ... + 335694.

Almost surely, 2^11004405120 is an apocalyptic number.

11004405120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11004405120 is an abundant number, since it is smaller than the sum of its proper divisors (27969590880).

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

11004405120 is an equidigital number, since it uses as much as digits as its factorization.

11004405120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636857 (or 636839 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 11004405120 its reverse (2150440011), we get a palindrome (13154845131).

The spelling of 11004405120 in words is "eleven billion, four million, four hundred five thousand, one hundred twenty".