11201112122120 has 32 divisors (see below), whose sum is σ = 26685002410200. Its totient is φ = 4216889269248.

The previous prime is 11201112122099. The next prime is 11201112122129. The reversal of 11201112122120 is 2122121110211.

11201112122120 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 11113115645956 + 87996476164 = 3333634^2 + 296642^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (11201112122129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8236111175 + ... + 8236112534.

Almost surely, 2^{11201112122120} is an apocalyptic number.

11201112122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201112122120 is an abundant number, since it is smaller than the sum of its proper divisors (15483890288080).

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

11201112122120 is a wasteful number, since it uses less digits than its factorization.

11201112122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16472223737 (or 16472223733 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 11201112122120 its reverse (2122121110211), we get a palindrome (13323233232331).

The spelling of 11201112122120 in words is "eleven trillion, two hundred one billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twenty".