12212100111200 has 432 divisors, whose sum is σ = 34497501581088. Its totient is φ = 4210010112000.

The previous prime is 12212100111179. The next prime is 12212100111221. The reversal of 12212100111200 is 211100121221.

It is an interprime number because it is at equal distance from previous prime (12212100111179) and next prime (12212100111221).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 251558930 + ... + 251607470.

It is an arithmetic number, because the mean of its divisors is an integer number (79855327734).

Almost surely, 2^{12212100111200} is an apocalyptic number.

12212100111200 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 12212100111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17248750790544).

12212100111200 is an abundant number, since it is smaller than the sum of its proper divisors (22285401469888).

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

12212100111200 is a wasteful number, since it uses less digits than its factorization.

12212100111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48719 (or 48695 counting only the distinct ones).

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

Adding to 12212100111200 its reverse (211100121221), we get a palindrome (12423200232421).

The spelling of 12212100111200 in words is "twelve trillion, two hundred twelve billion, one hundred million, one hundred eleven thousand, two hundred".