200121310213200 has 180 divisors, whose sum is σ = 694490679305280. Its totient is φ = 53364595887360.

The previous prime is 200121310213189. The next prime is 200121310213219. The reversal of 200121310213200 is 2312013121002.

200121310213200 is a `hidden beast` number, since 2 + 0 + 0 + 12 + 1 + 310 + 21 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

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 35 ways as a sum of consecutive naturals, for example, 184640059 + ... + 185720741.

It is an arithmetic number, because the mean of its divisors is an integer number (3858281551696).

Almost surely, 2^{200121310213200} is an apocalyptic number.

200121310213200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200121310213200 is an abundant number, since it is smaller than the sum of its proper divisors (494369369092080).

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

200121310213200 is a wasteful number, since it uses less digits than its factorization.

200121310213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132146 (or 1132132 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 200121310213200 its reverse (2312013121002), we get a palindrome (202433323334202).

The spelling of 200121310213200 in words is "two hundred trillion, one hundred twenty-one billion, three hundred ten million, two hundred thirteen thousand, two hundred".