212122311110000 has 200 divisors, whose sum is σ = 516270222745728. Its totient is φ = 84403116000000.

The previous prime is 212122311109997. The next prime is 212122311110033. The reversal of 212122311110000 is 11113221212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 4243185005 + ... + 4243234995.

Almost surely, 2^{212122311110000} is an apocalyptic number.

212122311110000 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 212122311110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258135111372864).

212122311110000 is an abundant number, since it is smaller than the sum of its proper divisors (304147911635728).

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

212122311110000 is a wasteful number, since it uses less digits than its factorization.

212122311110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52241 (or 52220 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 212122311110000 its reverse (11113221212), we get a palindrome (212133424331212).

The spelling of 212122311110000 in words is "two hundred twelve trillion, one hundred twenty-two billion, three hundred eleven million, one hundred ten thousand".