2122211211200 has 168 divisors, whose sum is σ = 5530418923392. Its totient is φ = 798765383680.

The previous prime is 2122211211193. The next prime is 2122211211223. The reversal of 2122211211200 is 21121122212.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195644177 + ... + 195655023.

Almost surely, 2^{2122211211200} is an apocalyptic number.

2122211211200 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 2122211211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765209461696).

2122211211200 is an abundant number, since it is smaller than the sum of its proper divisors (3408207712192).

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

2122211211200 is a wasteful number, since it uses less digits than its factorization.

2122211211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18079 (or 18064 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2122211211200 its reverse (21121122212), we get a palindrome (2143332333412).

The spelling of 2122211211200 in words is "two trillion, one hundred twenty-two billion, two hundred eleven million, two hundred eleven thousand, two hundred".