200212212010122 has 384 divisors, whose sum is σ = 516419749520640. Its totient is φ = 57131718336000.

The previous prime is 200212212010117. The next prime is 200212212010147. The reversal of 200212212010122 is 221010212212002.

It is a happy number.

200212212010122 is a `hidden beast` number, since 200 + 21 + 221 + 201 + 0 + 1 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 200212212010095 and 200212212010104.

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 191 ways as a sum of consecutive naturals, for example, 3261763872 + ... + 3261825252.

It is an arithmetic number, because the mean of its divisors is an integer number (1344843097710).

Almost surely, 2^{200212212010122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200212212010122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258209874760320).

200212212010122 is an abundant number, since it is smaller than the sum of its proper divisors (316207537510518).

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

200212212010122 is a wasteful number, since it uses less digits than its factorization.

200212212010122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61715 (or 61690 counting only the distinct ones).

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

Adding to 200212212010122 its reverse (221010212212002), we get a palindrome (421222424222124).

The spelling of 200212212010122 in words is "two hundred trillion, two hundred twelve billion, two hundred twelve million, ten thousand, one hundred twenty-two".