11200122111200 has 144 divisors (see below), whose sum is σ = 30316945997520. Its totient is φ = 4006004736000.

The previous prime is 11200122111163. The next prime is 11200122111221. The reversal of 11200122111200 is 211122100211.

11200122111200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11200122111200² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9895505 + ... + 10969104.

It is an arithmetic number, because the mean of its divisors is an integer number (210534347205).

Almost surely, 2^{11200122111200} is an apocalyptic number.

11200122111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11200122111200 is an abundant number, since it is smaller than the sum of its proper divisors (19116823886320).

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

11200122111200 is a wasteful number, since it uses less digits than its factorization.

11200122111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20864701 (or 20864688 counting only the distinct ones).

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

Adding to 11200122111200 its reverse (211122100211), we get a palindrome (11411244211411).

The spelling of 11200122111200 in words is "eleven trillion, two hundred billion, one hundred twenty-two million, one hundred eleven thousand, two hundred".