212112022000 has 80 divisors (see below), whose sum is σ = 515034000000. Its totient is φ = 84489619200.

The previous prime is 212112021983. The next prime is 212112022007. The reversal of 212112022000 is 220211212.

It is a happy number.

212112022000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212112022007) 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 15 ways as a sum of consecutive naturals, for example, 256126 + ... + 699874.

It is an arithmetic number, because the mean of its divisors is an integer number (6437925000).

Almost surely, 2^212112022000 is an apocalyptic number.

212112022000 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 212112022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257517000000).

212112022000 is an abundant number, since it is smaller than the sum of its proper divisors (302921978000).

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

212112022000 is a wasteful number, since it uses less digits than its factorization.

212112022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444011 (or 443995 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 212112022000 its reverse (220211212), we get a palindrome (212332233212).

The spelling of 212112022000 in words is "two hundred twelve billion, one hundred twelve million, twenty-two thousand".