212120212122 has 192 divisors, whose sum is σ = 584217204480. Its totient is φ = 54124941312.

The previous prime is 212120212079. The next prime is 212120212133. The reversal of 212120212122 is 221212021212.

It is a happy number.

212120212122 is a `hidden beast` number, since 212 + 120 + 212 + 122 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 212120212095 and 212120212104.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10838698 + ... + 10858250.

It is an arithmetic number, because the mean of its divisors is an integer number (3042797940).

Almost surely, 2^212120212122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212120212122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292108602240).

212120212122 is an abundant number, since it is smaller than the sum of its proper divisors (372096992358).

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

212120212122 is a wasteful number, since it uses less digits than its factorization.

212120212122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19797 (or 19794 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212120212122 its reverse (221212021212), we get a palindrome (433332233334).

It can be divided in two parts, 21212021212 and 2, that multiplied together give a palindrome (42424042424).

The spelling of 212120212122 in words is "two hundred twelve billion, one hundred twenty million, two hundred twelve thousand, one hundred twenty-two".