2112212221200 has 180 divisors, whose sum is σ = 7336695348528. Its totient is φ = 562739270400.

The previous prime is 2112212221169. The next prime is 2112212221213. The reversal of 2112212221200 is 21222122112.

It is a happy number.

2112212221200 is a `hidden beast` number, since 21 + 1 + 221 + 2 + 221 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×2112212221200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3658707 + ... + 4196493.

Almost surely, 2^{2112212221200} is an apocalyptic number.

2112212221200 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 2112212221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3668347674264).

2112212221200 is an abundant number, since it is smaller than the sum of its proper divisors (5224483127328).

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

2112212221200 is a wasteful number, since it uses less digits than its factorization.

2112212221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538902 (or 538888 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2112212221200 its reverse (21222122112), we get a palindrome (2133434343312).

It can be divided in two parts, 21 and 12212221200, that added together give a palindrome (12212221221).

The spelling of 2112212221200 in words is "two trillion, one hundred twelve billion, two hundred twelve million, two hundred twenty-one thousand, two hundred".