201201122101200 has 240 divisors, whose sum is σ = 734921239905216. Its totient is φ = 46613110579200.

The previous prime is 201201122101171. The next prime is 201201122101207. The reversal of 201201122101200 is 2101221102102.

201201122101200 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 (240).

It is a super-2 number, since 2×201201122101200² (a number of 29 digits) contains 22 as substring.

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 201201122101200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201201122101207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379073266 + ... + 379603665.

Almost surely, 2^{201201122101200} is an apocalyptic number.

201201122101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201201122101200 is an abundant number, since it is smaller than the sum of its proper divisors (533720117804016).

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

201201122101200 is a wasteful number, since it uses less digits than its factorization.

201201122101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758676982 (or 758676971 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 201201122101200 its reverse (2101221102102), we get a palindrome (203302343203302).

The spelling of 201201122101200 in words is "two hundred one trillion, two hundred one billion, one hundred twenty-two million, one hundred one thousand, two hundred".