201200122011200 has 84 divisors (see below), whose sum is σ = 533160977219220. Its totient is φ = 74289275811840.

The previous prime is 201200122011191. The next prime is 201200122011263. The reversal of 201200122011200 is 2110221002102.

It can be written as a sum of positive squares in 6 ways, for example, as 71423187098176 + 129776934913024 = 8451224^2 + 11391968^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4836520595 + ... + 4836562194.

It is an arithmetic number, because the mean of its divisors is an integer number (6347154490705).

Almost surely, 2^{201200122011200} is an apocalyptic number.

201200122011200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201200122011200 is an abundant number, since it is smaller than the sum of its proper divisors (331960855208020).

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

201200122011200 is a wasteful number, since it uses less digits than its factorization.

201200122011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9673082824 (or 9673082809 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201200122011200 its reverse (2110221002102), we get a palindrome (203310343013302).

The spelling of 201200122011200 in words is "two hundred one trillion, two hundred billion, one hundred twenty-two million, eleven thousand, two hundred".