201211212200 has 96 divisors (see below), whose sum is σ = 492676279200. Its totient is φ = 76211562240.

The previous prime is 201211212197. The next prime is 201211212247. The reversal of 201211212200 is 2212112102.

201211212200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8602922 + ... + 8626278.

It is an arithmetic number, because the mean of its divisors is an integer number (5132044575).

Almost surely, 2^201211212200 is an apocalyptic number.

201211212200 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 201211212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246338139600).

201211212200 is an abundant number, since it is smaller than the sum of its proper divisors (291465067000).

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

201211212200 is a wasteful number, since it uses less digits than its factorization.

201211212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25659 (or 25650 counting only the distinct ones).

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

Adding to 201211212200 its reverse (2212112102), we get a palindrome (203423324302).

It can be divided in two parts, 20121 and 1212200, that added together give a palindrome (1232321).

The spelling of 201211212200 in words is "two hundred one billion, two hundred eleven million, two hundred twelve thousand, two hundred".