11201122000 has 40 divisors (see below), whose sum is σ = 27084317832. Its totient is φ = 4480448000.

The previous prime is 11201121989. The next prime is 11201122001. The reversal of 11201122000 is 22110211.

11201122000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1179510336 + 10021611664 = 34344^2 + 100108^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201122001) 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 7 ways as a sum of consecutive naturals, for example, 2798281 + ... + 2802280.

Almost surely, 2^11201122000 is an apocalyptic number.

11201122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201122000 is an abundant number, since it is smaller than the sum of its proper divisors (15883195832).

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

11201122000 is an equidigital number, since it uses as much as digits as its factorization.

11201122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5600584 (or 5600568 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11201122000 its reverse (22110211), we get a palindrome (11223232211).

The spelling of 11201122000 in words is "eleven billion, two hundred one million, one hundred twenty-two thousand".