211212110012200 has 144 divisors (see below), whose sum is σ = 540603434478240. Its totient is φ = 76685689449600.

The previous prime is 211212110012147. The next prime is 211212110012209. The reversal of 211212110012200 is 2210011212112.

It is a super-2 number, since 2×211212110012200² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211212110012209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8912599 + ... + 22402201.

It is an arithmetic number, because the mean of its divisors is an integer number (3754190517210).

Almost surely, 2^{211212110012200} is an apocalyptic number.

211212110012200 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 211212110012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270301717239120).

211212110012200 is an abundant number, since it is smaller than the sum of its proper divisors (329391324466040).

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

211212110012200 is a wasteful number, since it uses less digits than its factorization.

211212110012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13490288 (or 13490268 counting only the distinct ones).

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

Adding to 211212110012200 its reverse (2210011212112), we get a palindrome (213422121224312).

The spelling of 211212110012200 in words is "two hundred eleven trillion, two hundred twelve billion, one hundred ten million, twelve thousand, two hundred".