212201022012012 has 960 divisors, whose sum is σ = 642570981212160. Its totient is φ = 60480060825600.

The previous prime is 212201022011999. The next prime is 212201022012059. The reversal of 212201022012012 is 210210220102212.

It is a happy number.

212201022012012 is a `hidden beast` number, since 21 + 220 + 1 + 0 + 220 + 1 + 201 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 173508602833 + ... + 173508604055.

It is an arithmetic number, because the mean of its divisors is an integer number (669344772096).

Almost surely, 2^{212201022012012} is an apocalyptic number.

212201022012012 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 212201022012012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321285490606080).

212201022012012 is an abundant number, since it is smaller than the sum of its proper divisors (430369959200148).

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

212201022012012 is a wasteful number, since it uses less digits than its factorization.

212201022012012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1645 counting only the distinct ones).

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

Adding to 212201022012012 its reverse (210210220102212), we get a palindrome (422411242114224).

The spelling of 212201022012012 in words is "two hundred twelve trillion, two hundred one billion, twenty-two million, twelve thousand, twelve".