2212111101200 has 720 divisors, whose sum is σ = 7283125564416. Its totient is φ = 626853427200.

The previous prime is 2212111101199. The next prime is 2212111101209. The reversal of 2212111101200 is 21011112122.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (2212111101209) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 348745229 + ... + 348751571.

Almost surely, 2^{2212111101200} is an apocalyptic number.

2212111101200 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 2212111101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3641562782208).

2212111101200 is an abundant number, since it is smaller than the sum of its proper divisors (5071014463216).

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

2212111101200 is a wasteful number, since it uses less digits than its factorization.

2212111101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6472 (or 6448 counting only the distinct ones).

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

Adding to 2212111101200 its reverse (21011112122), we get a palindrome (2233122213322).

The spelling of 2212111101200 in words is "two trillion, two hundred twelve billion, one hundred eleven million, one hundred one thousand, two hundred".