212221110200000 has 336 divisors, whose sum is σ = 575768043674208. Its totient is φ = 76964121600000.

The previous prime is 212221110199993. The next prime is 212221110200137. The reversal of 212221110200000 is 2011122212.

It is a super-2 number, since 2×212221110200000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 820470692 + ... + 820729308.

It is an arithmetic number, because the mean of its divisors is an integer number (1713595368078).

Almost surely, 2^{212221110200000} is an apocalyptic number.

212221110200000 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 212221110200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287884021837104).

212221110200000 is an abundant number, since it is smaller than the sum of its proper divisors (363546933474208).

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

212221110200000 is an equidigital number, since it uses as much as digits as its factorization.

212221110200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259038 (or 259008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212221110200000 its reverse (2011122212), we get a palindrome (212223121322212).

The spelling of 212221110200000 in words is "two hundred twelve trillion, two hundred twenty-one billion, one hundred ten million, two hundred thousand".