200022122112 has 128 divisors (see below), whose sum is σ = 542090309760. Its totient is φ = 65324593152.

The previous prime is 200022122087. The next prime is 200022122123. The reversal of 200022122112 is 211221220002.

200022122112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 200022122091 and 200022122100.

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 15 ways as a sum of consecutive naturals, for example, 15399973 + ... + 15412955.

It is an arithmetic number, because the mean of its divisors is an integer number (4235080545).

Almost surely, 2^200022122112 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 200022122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271045154880).

200022122112 is an abundant number, since it is smaller than the sum of its proper divisors (342068187648).

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

200022122112 is a wasteful number, since it uses less digits than its factorization.

200022122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13810 (or 13798 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 200022122112 its reverse (211221220002), we get a palindrome (411243342114).

The spelling of 200022122112 in words is "two hundred billion, twenty-two million, one hundred twenty-two thousand, one hundred twelve".