200220200021120 has 128 divisors (see below), whose sum is σ = 487856916128880. Its totient is φ = 78548893696000.

The previous prime is 200220200021087. The next prime is 200220200021167. The reversal of 200220200021120 is 21120002022002.

It can be written as a sum of positive squares in 8 ways, for example, as 94594920384064 + 105625279637056 = 9725992^2 + 10277416^2 .

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 = 200220200021095 and 200220200021104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93956240 + ... + 96063600.

Almost surely, 2^{200220200021120} is an apocalyptic number.

200220200021120 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 200220200021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243928458064440).

200220200021120 is an abundant number, since it is smaller than the sum of its proper divisors (287636716107760).

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

200220200021120 is a wasteful number, since it uses less digits than its factorization.

200220200021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110234 (or 2110222 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 200220200021120 its reverse (21120002022002), we get a palindrome (221340202043122).

The spelling of 200220200021120 in words is "two hundred trillion, two hundred twenty billion, two hundred million, twenty-one thousand, one hundred twenty".