200212010122122 has 144 divisors (see below), whose sum is σ = 460719005658912. Its totient is φ = 62795551190400.

The previous prime is 200212010122099. The next prime is 200212010122129. The reversal of 200212010122122 is 221221010212002.

It is a happy number.

200212010122122 is a `hidden beast` number, since 200 + 2 + 120 + 101 + 221 + 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 = 200212010122095 and 200212010122104.

It is not an unprimeable number, because it can be changed into a prime (200212010122129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 106084813 + ... + 107955599.

It is an arithmetic number, because the mean of its divisors is an integer number (3199437539298).

Almost surely, 2^{200212010122122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200212010122122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230359502829456).

200212010122122 is an abundant number, since it is smaller than the sum of its proper divisors (260506995536790).

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

200212010122122 is a wasteful number, since it uses less digits than its factorization.

200212010122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871013 (or 1870973 counting only the distinct ones).

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

Adding to 200212010122122 its reverse (221221010212002), we get a palindrome (421433020334124).

The spelling of 200212010122122 in words is "two hundred trillion, two hundred twelve billion, ten million, one hundred twenty-two thousand, one hundred twenty-two".