12022112211200 has 324 divisors, whose sum is σ = 37277519281380. Its totient is φ = 3804799057920.

The previous prime is 12022112211133. The next prime is 12022112211227. The reversal of 12022112211200 is 211221122021.

It can be written as a sum of positive squares in 6 ways, for example, as 300198793216 + 11721913417984 = 547904^2 + 3423728^2 .

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, 2602346 + ... + 5551254.

Almost surely, 2^{12022112211200} is an apocalyptic number.

12022112211200 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 12022112211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18638759640690).

12022112211200 is an abundant number, since it is smaller than the sum of its proper divisors (25255407070180).

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

12022112211200 is a wasteful number, since it uses less digits than its factorization.

12022112211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2948962 (or 2948936 counting only the distinct ones).

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

Adding to 12022112211200 its reverse (211221122021), we get a palindrome (12233333333221).

The spelling of 12022112211200 in words is "twelve trillion, twenty-two billion, one hundred twelve million, two hundred eleven thousand, two hundred".