212120111200 has 144 divisors (see below), whose sum is σ = 556024349664. Its totient is φ = 78731878400.

The previous prime is 212120111171. The next prime is 212120111219. The reversal of 212120111200 is 2111021212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 855762 + ... + 1075438.

It is an arithmetic number, because the mean of its divisors is an integer number (3861280206).

Almost surely, 2^212120111200 is an apocalyptic number.

212120111200 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 212120111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278012174832).

212120111200 is an abundant number, since it is smaller than the sum of its proper divisors (343904238464).

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

212120111200 is a wasteful number, since it uses less digits than its factorization.

212120111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219785 (or 219772 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 212120111200 its reverse (2111021212), we get a palindrome (214231132412).

The spelling of 212120111200 in words is "two hundred twelve billion, one hundred twenty million, one hundred eleven thousand, two hundred".