201211201121200 has 240 divisors, whose sum is σ = 491781663959040. Its totient is φ = 79103987343360.

The previous prime is 201211201121197. The next prime is 201211201121207. The reversal of 201211201121200 is 2121102112102.

It is a super-2 number, since 2×201211201121200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (201211201121207) 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, 3403234839 + ... + 3403293961.

It is an arithmetic number, because the mean of its divisors is an integer number (2049090266496).

Almost surely, 2^{201211201121200} is an apocalyptic number.

201211201121200 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 201211201121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245890831979520).

201211201121200 is an abundant number, since it is smaller than the sum of its proper divisors (290570462837840).

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

201211201121200 is a wasteful number, since it uses less digits than its factorization.

201211201121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59844 (or 59833 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 201211201121200 its reverse (2121102112102), we get a palindrome (203332303233302).

The spelling of 201211201121200 in words is "two hundred one trillion, two hundred eleven billion, two hundred one million, one hundred twenty-one thousand, two hundred".