212120202220112 has 40 divisors (see below), whose sum is σ = 425734736415240. Its totient is φ = 102263152320000.

The previous prime is 212120202220013. The next prime is 212120202220123. The reversal of 212120202220112 is 211022202021212.

It can be written as a sum of positive squares in 4 ways, for example, as 42367028928016 + 169753173292096 = 6508996^2 + 13028936^2 .

It is a super-3 number, since 3×212120202220112³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 311498639 + ... + 312178862.

It is an arithmetic number, because the mean of its divisors is an integer number (10643368410381).

Almost surely, 2^{212120202220112} is an apocalyptic number.

It is an amenable number.

212120202220112 is an abundant number, since it is smaller than the sum of its proper divisors (213614534195128).

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

212120202220112 is a wasteful number, since it uses less digits than its factorization.

212120202220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623678271 (or 623678265 counting only the distinct ones).

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

Adding to 212120202220112 its reverse (211022202021212), we get a palindrome (423142404241324).

The spelling of 212120202220112 in words is "two hundred twelve trillion, one hundred twenty billion, two hundred two million, two hundred twenty thousand, one hundred twelve".