201220302301200 has 720 divisors, whose sum is σ = 861157281712000. Its totient is φ = 42370157445120.

The previous prime is 201220302301181. The next prime is 201220302301211. The reversal of 201220302301200 is 2103203022102.

201220302301200 is a `hidden beast` number, since 20 + 1 + 2 + 20 + 302 + 301 + 20 + 0 = 666.

201220302301200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×201220302301200² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 162856944 + ... + 164087856.

Almost surely, 2^{201220302301200} is an apocalyptic number.

201220302301200 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 201220302301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430578640856000).

201220302301200 is an abundant number, since it is smaller than the sum of its proper divisors (659936979410800).

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

201220302301200 is a wasteful number, since it uses less digits than its factorization.

201220302301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231456 (or 1231442 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 201220302301200 its reverse (2103203022102), we get a palindrome (203323505323302).

The spelling of 201220302301200 in words is "two hundred one trillion, two hundred twenty billion, three hundred two million, three hundred one thousand, two hundred".