200222121011000 has 256 divisors, whose sum is σ = 538055355801600. Its totient is φ = 68970627648000.

The previous prime is 200222121010963. The next prime is 200222121011069. The reversal of 200222121011000 is 110121222002.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 3396847529 + ... + 3396906471.

It is an arithmetic number, because the mean of its divisors is an integer number (2101778733600).

Almost surely, 2^{200222121011000} is an apocalyptic number.

200222121011000 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 200222121011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269027677900800).

200222121011000 is an abundant number, since it is smaller than the sum of its proper divisors (337833234790600).

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

200222121011000 is a wasteful number, since it uses less digits than its factorization.

200222121011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75247 (or 75233 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 200222121011000 its reverse (110121222002), we get a palindrome (200332242233002).

The spelling of 200222121011000 in words is "two hundred trillion, two hundred twenty-two billion, one hundred twenty-one million, eleven thousand".