11200122120 has 128 divisors (see below), whose sum is σ = 36680999040. Its totient is φ = 2713251840.

The previous prime is 11200122119. The next prime is 11200122191. The reversal of 11200122120 is 2122100211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11200122096 and 11200122105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2950944 + ... + 2954736.

It is an arithmetic number, because the mean of its divisors is an integer number (286570305).

Almost surely, 2^11200122120 is an apocalyptic number.

11200122120 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 11200122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18340499520).

11200122120 is an abundant number, since it is smaller than the sum of its proper divisors (25480876920).

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

11200122120 is a wasteful number, since it uses less digits than its factorization.

11200122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6055 (or 6051 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11200122120 its reverse (2122100211), we get a palindrome (13322222331).

The spelling of 11200122120 in words is "eleven billion, two hundred million, one hundred twenty-two thousand, one hundred twenty".