200220002200120 has 128 divisors (see below), whose sum is σ = 526038270192000. Its totient is φ = 68558048498688.

The previous prime is 200220002200111. The next prime is 200220002200147. The reversal of 200220002200120 is 21002200022002.

It is a super-3 number, since 3×200220002200120³ (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 200220002200120.

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 31 ways as a sum of consecutive naturals, for example, 1166172 + ... + 20044948.

It is an arithmetic number, because the mean of its divisors is an integer number (4109673985875).

Almost surely, 2^{200220002200120} is an apocalyptic number.

200220002200120 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 200220002200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263019135096000).

200220002200120 is an abundant number, since it is smaller than the sum of its proper divisors (325818267991880).

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

200220002200120 is a wasteful number, since it uses less digits than its factorization.

200220002200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18879582 (or 18879564 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 200220002200120 its reverse (21002200022002), we get a palindrome (221222202222122).

The spelling of 200220002200120 in words is "two hundred trillion, two hundred twenty billion, two million, two hundred thousand, one hundred twenty".