211201212200 has 384 divisors, whose sum is σ = 570097440000. Its totient is φ = 72017510400.

The previous prime is 211201212193. The next prime is 211201212253. The reversal of 211201212200 is 2212102112.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 821794472 + ... + 821794728.

It is an arithmetic number, because the mean of its divisors is an integer number (1484628750).

Almost surely, 2^211201212200 is an apocalyptic number.

211201212200 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 211201212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285048720000).

211201212200 is an abundant number, since it is smaller than the sum of its proper divisors (358896227800).

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

211201212200 is a wasteful number, since it uses less digits than its factorization.

211201212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 556 counting only the distinct ones).

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

Adding to 211201212200 its reverse (2212102112), we get a palindrome (213413314312).

It can be divided in two parts, 2112012 and 12200, that added together give a palindrome (2124212).

The spelling of 211201212200 in words is "two hundred eleven billion, two hundred one million, two hundred twelve thousand, two hundred".