11201200020 has 120 divisors (see below), whose sum is σ = 35533852200. Its totient is φ = 2953387008.

The previous prime is 11201200019. The next prime is 11201200063. The reversal of 11201200020 is 2000210211.

It can be written as a sum of positive squares in 4 ways, for example, as 726086916 + 10475113104 = 26946^2 + 102348^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 11201199975 and 11201200011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 105336 + ... + 183024.

It is an arithmetic number, because the mean of its divisors is an integer number (296115435).

Almost surely, 2^11201200020 is an apocalyptic number.

11201200020 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 11201200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17766926100).

11201200020 is an abundant number, since it is smaller than the sum of its proper divisors (24332652180).

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

11201200020 is a wasteful number, since it uses less digits than its factorization.

11201200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77799 (or 77788 counting only the distinct ones).

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

Adding to 11201200020 its reverse (2000210211), we get a palindrome (13201410231).

The spelling of 11201200020 in words is "eleven billion, two hundred one million, two hundred thousand, twenty".