200222002222000 has 320 divisors, whose sum is σ = 540206155307520. Its totient is φ = 71160164736000.

The previous prime is 200222002221953. The next prime is 200222002222007. The reversal of 200222002222000 is 222200222002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (200222002222007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 224108179 + ... + 224999821.

It is an arithmetic number, because the mean of its divisors is an integer number (1688144235336).

Almost surely, 2^{200222002222000} is an apocalyptic number.

200222002222000 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 200222002222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270103077653760).

200222002222000 is an abundant number, since it is smaller than the sum of its proper divisors (339984153085520).

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

200222002222000 is a wasteful number, since it uses less digits than its factorization.

200222002222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891909 (or 891893 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 200222002222000 its reverse (222200222002), we get a palindrome (200444202444002).

It can be divided in two parts, 200222002 and 222000, that added together give a palindrome (200444002).

The spelling of 200222002222000 in words is "two hundred trillion, two hundred twenty-two billion, two million, two hundred twenty-two thousand".