11011201120 has 24 divisors (see below), whose sum is σ = 26013963024. Its totient is φ = 4404480384.

The previous prime is 11011201109. The next prime is 11011201127. The reversal of 11011201120 is 2110211011.

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

It is a junction number, because it is equal to n+sod(n) for n = 11011201097 and 11011201106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011201127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34409844 + ... + 34410163.

It is an arithmetic number, because the mean of its divisors is an integer number (1083915126).

Almost surely, 2^11011201120 is an apocalyptic number.

11011201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11011201120 is an abundant number, since it is smaller than the sum of its proper divisors (15002761904).

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

11011201120 is an equidigital number, since it uses as much as digits as its factorization.

11011201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68820022 (or 68820014 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11011201120 its reverse (2110211011), we get a palindrome (13121412131).

The spelling of 11011201120 in words is "eleven billion, eleven million, two hundred one thousand, one hundred twenty".