212121112122000 has 400 divisors, whose sum is σ = 766918579819392. Its totient is φ = 56512370822400.

The previous prime is 212121112121923. The next prime is 212121112122047. The reversal of 212121112122000 is 221211121212.

212121112122000 is a `hidden beast` number, since 21 + 21 + 211 + 1 + 212 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 79 ways as a sum of consecutive naturals, for example, 171590107 + ... + 172821893.

Almost surely, 2^{212121112122000} is an apocalyptic number.

212121112122000 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 212121112122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383459289909696).

212121112122000 is an abundant number, since it is smaller than the sum of its proper divisors (554797467697392).

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

212121112122000 is a wasteful number, since it uses less digits than its factorization.

212121112122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232885 (or 1232860 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212121112122000 its reverse (221211121212), we get a palindrome (212342323243212).

The spelling of 212121112122000 in words is "two hundred twelve trillion, one hundred twenty-one billion, one hundred twelve million, one hundred twenty-two thousand".