202120221200 has 90 divisors (see below), whose sum is σ = 502916683854. Its totient is φ = 78060093440.

The previous prime is 202120221181. The next prime is 202120221263. The reversal of 202120221200 is 2122021202.

It can be written as a sum of positive squares in 9 ways, for example, as 13611422224 + 188508798976 = 116668^2 + 434176^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 35984 + ... + 636816.

Almost surely, 2^202120221200 is an apocalyptic number.

202120221200 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 202120221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251458341927).

202120221200 is an abundant number, since it is smaller than the sum of its proper divisors (300796462654).

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

202120221200 is a wasteful number, since it uses less digits than its factorization.

202120221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600909 (or 600869 counting only the distinct ones).

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

Adding to 202120221200 its reverse (2122021202), we get a palindrome (204242242402).

It can be divided in two parts, 2021202 and 21200, that added together give a palindrome (2042402).

The spelling of 202120221200 in words is "two hundred two billion, one hundred twenty million, two hundred twenty-one thousand, two hundred".