11003120420 has 48 divisors (see below), whose sum is σ = 24175186560. Its totient is φ = 4198715136.

The previous prime is 11003120399. The next prime is 11003120449. The reversal of 11003120420 is 2402130011.

11003120420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11003120395 and 11003120404.

It is an unprimeable number.

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, 142784 + ... + 205896.

It is an arithmetic number, because the mean of its divisors is an integer number (503649720).

Almost surely, 2^11003120420 is an apocalyptic number.

11003120420 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 11003120420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12087593280).

11003120420 is an abundant number, since it is smaller than the sum of its proper divisors (13172066140).

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

11003120420 is a wasteful number, since it uses less digits than its factorization.

11003120420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63524 (or 63522 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 11003120420 its reverse (2402130011), we get a palindrome (13405250431).

The spelling of 11003120420 in words is "eleven billion, three million, one hundred twenty thousand, four hundred twenty".