212000220102220 has 192 divisors, whose sum is σ = 500830535140992. Its totient is φ = 74732544000000.

The previous prime is 212000220102191. The next prime is 212000220102257. The reversal of 212000220102220 is 22201022000212.

It is a junction number, because it is equal to n+sod(n) for n = 212000220102194 and 212000220102203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 221745220 + ... + 222699220.

It is an arithmetic number, because the mean of its divisors is an integer number (2608492370526).

Almost surely, 2^{212000220102220} is an apocalyptic number.

212000220102220 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 212000220102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250415267570496).

212000220102220 is an abundant number, since it is smaller than the sum of its proper divisors (288830315038772).

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

212000220102220 is a wasteful number, since it uses less digits than its factorization.

212000220102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954332 (or 954330 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 212000220102220 its reverse (22201022000212), we get a palindrome (234201242102432).

It can be divided in two parts, 2120002 and 20102220, that added together give a palindrome (22222222).

The spelling of 212000220102220 in words is "two hundred twelve trillion, two hundred twenty million, one hundred two thousand, two hundred twenty".