2212101211200 has 168 divisors, whose sum is σ = 7287653456160. Its totient is φ = 587445657600.

The previous prime is 2212101211163. The next prime is 2212101211207. The reversal of 2212101211200 is 21121012122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2212101211200.

It is not an unprimeable number, because it can be changed into a prime (2212101211207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200671 + ... + 2112929.

It is an arithmetic number, because the mean of its divisors is an integer number (43378889620).

Almost surely, 2^{2212101211200} is an apocalyptic number.

2212101211200 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 2212101211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3643826728080).

2212101211200 is an abundant number, since it is smaller than the sum of its proper divisors (5075552244960).

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

2212101211200 is a wasteful number, since it uses less digits than its factorization.

2212101211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912525 (or 1912510 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2212101211200 its reverse (21121012122), we get a palindrome (2233222223322).

It can be divided in two parts, 2212101 and 211200, that added together give a triangular number (2423301 = T₂₂₀₁).

The spelling of 2212101211200 in words is "two trillion, two hundred twelve billion, one hundred one million, two hundred eleven thousand, two hundred".