2122110111200 has 144 divisors (see below), whose sum is σ = 5359509938160. Its totient is φ = 819939840000.

The previous prime is 2122110111193. The next prime is 2122110111203. The reversal of 2122110111200 is 21110112212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122110111203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2992511 + ... + 3633089.

It is an arithmetic number, because the mean of its divisors is an integer number (37218819015).

Almost surely, 2^{2122110111200} is an apocalyptic number.

2122110111200 is a gapful number since it is divisible by the number (20) 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 2122110111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2679754969080).

2122110111200 is an abundant number, since it is smaller than the sum of its proper divisors (3237399826960).

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

2122110111200 is a wasteful number, since it uses less digits than its factorization.

2122110111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640741 (or 640728 counting only the distinct ones).

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

Adding to 2122110111200 its reverse (21110112212), we get a palindrome (2143220223412).

The spelling of 2122110111200 in words is "two trillion, one hundred twenty-two billion, one hundred ten million, one hundred eleven thousand, two hundred".