212212000212212 has 648 divisors, whose sum is σ = 551467551650400. Its totient is φ = 70937598251520.

The previous prime is 212212000212197. The next prime is 212212000212227.

212212000212212 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (212212000212197) and next prime (212212000212227).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4036033739 + ... + 4036086317.

It is an arithmetic number, because the mean of its divisors is an integer number (851030172300).

Almost surely, 2^{212212000212212} is an apocalyptic number.

212212000212212 is a gapful number since it is divisible by the number (22) 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 212212000212212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275733775825200).

212212000212212 is an abundant number, since it is smaller than the sum of its proper divisors (339255551438188).

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

212212000212212 is a wasteful number, since it uses less digits than its factorization.

212212000212212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52717 (or 52684 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 212212000 and 212212, that added together give a palindrome (212424212).

The spelling of 212212000212212 in words is "two hundred twelve trillion, two hundred twelve billion, two hundred twelve thousand, two hundred twelve".