11004400120 has 64 divisors (see below), whose sum is σ = 28344084480. Its totient is φ = 3766663296.

The previous prime is 11004400109. The next prime is 11004400129. The reversal of 11004400120 is 2100440011.

It is a self number, because there is not a number n which added to its sum of digits gives 11004400120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11004400129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137587 + ... + 202333.

It is an arithmetic number, because the mean of its divisors is an integer number (442876320).

Almost surely, 2^11004400120 is an apocalyptic number.

11004400120 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 11004400120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14172042240).

11004400120 is an abundant number, since it is smaller than the sum of its proper divisors (17339684360).

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

11004400120 is a wasteful number, since it uses less digits than its factorization.

11004400120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65372 (or 65368 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 11004400120 its reverse (2100440011), we get a palindrome (13104840131).

The spelling of 11004400120 in words is "eleven billion, four million, four hundred thousand, one hundred twenty".