200201222201220 has 72 divisors (see below), whose sum is σ = 607356437851800. Its totient is φ = 53380012615680.

The previous prime is 200201222201203. The next prime is 200201222201237. The reversal of 200201222201220 is 22102222102002.

200201222201220 is a `hidden beast` number, since 2 + 0 + 0 + 20 + 1 + 222 + 201 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (200201222201203) and next prime (200201222201237).

It can be written as a sum of positive squares in 4 ways, for example, as 803834178624 + 199397388022596 = 896568^2 + 14120814^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 200201222201193 and 200201222201202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71327391 + ... + 74081030.

It is an arithmetic number, because the mean of its divisors is an integer number (8435506081275).

Almost surely, 2^{200201222201220} is an apocalyptic number.

200201222201220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200201222201220 is an abundant number, since it is smaller than the sum of its proper divisors (407155215650580).

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

200201222201220 is a wasteful number, since it uses less digits than its factorization.

200201222201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145416085 (or 145416080 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 200201222201220 its reverse (22102222102002), we get a palindrome (222303444303222).

The spelling of 200201222201220 in words is "two hundred trillion, two hundred one billion, two hundred twenty-two million, two hundred one thousand, two hundred twenty".