200222112122120 has 384 divisors, whose sum is σ = 512484377932800. Its totient is φ = 69778409472000.

The previous prime is 200222112122119. The next prime is 200222112122203. The reversal of 200222112122120 is 21221211222002.

200222112122120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 200222112122092 and 200222112122101.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73638142121 + ... + 73638144839.

It is an arithmetic number, because the mean of its divisors is an integer number (1334594734200).

Almost surely, 2^{200222112122120} is an apocalyptic number.

200222112122120 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 200222112122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256242188966400).

200222112122120 is an abundant number, since it is smaller than the sum of its proper divisors (312262265810680).

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

200222112122120 is a wasteful number, since it uses less digits than its factorization.

200222112122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4001 (or 3936 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 200222112122120 its reverse (21221211222002), we get a palindrome (221443323344122).

The spelling of 200222112122120 in words is "two hundred trillion, two hundred twenty-two billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twenty".