212211212201200 has 240 divisors, whose sum is σ = 532590618447360. Its totient is φ = 81175390479360.

The previous prime is 212211212201159. The next prime is 212211212201207. The reversal of 212211212201200 is 2102212112212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212211212201207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5454860949 + ... + 5454899851.

It is an arithmetic number, because the mean of its divisors is an integer number (2219127576864).

Almost surely, 2^{212211212201200} is an apocalyptic number.

212211212201200 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 212211212201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266295309223680).

212211212201200 is an abundant number, since it is smaller than the sum of its proper divisors (320379406246160).

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

212211212201200 is a wasteful number, since it uses less digits than its factorization.

212211212201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45264 (or 45253 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 212211212201200 its reverse (2102212112212), we get a palindrome (214313424313412).

The spelling of 212211212201200 in words is "two hundred twelve trillion, two hundred eleven billion, two hundred twelve million, two hundred one thousand, two hundred".