11201141120 has 128 divisors (see below), whose sum is σ = 28968408000. Its totient is φ = 4117045248.

The previous prime is 11201141099. The next prime is 11201141143. The reversal of 11201141120 is 2114110211.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 11201141095 and 11201141104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1902341 + ... + 1908219.

Almost surely, 2^11201141120 is an apocalyptic number.

11201141120 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 11201141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14484204000).

11201141120 is an abundant number, since it is smaller than the sum of its proper divisors (17767266880).

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

11201141120 is a wasteful number, since it uses less digits than its factorization.

11201141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6140 (or 6128 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11201141120 its reverse (2114110211), we get a palindrome (13315251331).

The spelling of 11201141120 in words is "eleven billion, two hundred one million, one hundred forty-one thousand, one hundred twenty".