212012122000 has 240 divisors, whose sum is σ = 597436016112. Its totient is φ = 72556646400.

The previous prime is 212012121991. The next prime is 212012122043. The reversal of 212012122000 is 221210212.

It is a happy number.

212012122000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 47539697296 + 164472424704 = 218036^2 + 405552^2 .

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 47 ways as a sum of consecutive naturals, for example, 63992344 + ... + 63995656.

Almost surely, 2^212012122000 is an apocalyptic number.

212012122000 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 212012122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298718008056).

212012122000 is an abundant number, since it is smaller than the sum of its proper divisors (385423894112).

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

212012122000 is a wasteful number, since it uses less digits than its factorization.

212012122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4003 (or 3980 counting only the distinct ones).

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

Adding to 212012122000 its reverse (221210212), we get a palindrome (212233332212).

The spelling of 212012122000 in words is "two hundred twelve billion, twelve million, one hundred twenty-two thousand".