212000220122112 has 264 divisors, whose sum is σ = 631948182355776. Its totient is φ = 68400553918464.

The previous prime is 212000220122083. The next prime is 212000220122183. The reversal of 212000220122112 is 211221022000212.

It is a happy number.

212000220122112 is a `hidden beast` number, since 21 + 200 + 0 + 220 + 1 + 221 + 1 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64200793 + ... + 67422119.

It is an arithmetic number, because the mean of its divisors is an integer number (2393743114984).

Almost surely, 2^{212000220122112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212000220122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315974091177888).

212000220122112 is an abundant number, since it is smaller than the sum of its proper divisors (419947962233664).

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

212000220122112 is a wasteful number, since it uses less digits than its factorization.

212000220122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3221583 (or 3221562 counting only the distinct ones).

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

Adding to 212000220122112 its reverse (211221022000212), we get a palindrome (423221242122324).

The spelling of 212000220122112 in words is "two hundred twelve trillion, two hundred twenty million, one hundred twenty-two thousand, one hundred twelve".