200120202202200 has 384 divisors, whose sum is σ = 725062678732800. Its totient is φ = 44707919086080.

The previous prime is 200120202202171. The next prime is 200120202202253. The reversal of 200120202202200 is 2202202021002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 200120202202200.

It is a congruent number.

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, 145192687 + ... + 146564513.

It is an arithmetic number, because the mean of its divisors is an integer number (1888184059200).

Almost surely, 2^{200120202202200} is an apocalyptic number.

200120202202200 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 200120202202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362531339366400).

200120202202200 is an abundant number, since it is smaller than the sum of its proper divisors (524942476530600).

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

200120202202200 is a wasteful number, since it uses less digits than its factorization.

200120202202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372639 (or 1372630 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 200120202202200 its reverse (2202202021002), we get a palindrome (202322404223202).

The spelling of 200120202202200 in words is "two hundred trillion, one hundred twenty billion, two hundred two million, two hundred two thousand, two hundred".