212221321312 has 192 divisors, whose sum is σ = 593976789504. Its totient is φ = 71833559040.

The previous prime is 212221321309. The next prime is 212221321321. The reversal of 212221321312 is 213123122212.

It is a super-2 number, since 2×212221321312² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349683 + ... + 739405.

It is an arithmetic number, because the mean of its divisors is an integer number (3093629112).

Almost surely, 2^212221321312 is an apocalyptic number.

212221321312 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 212221321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296988394752).

212221321312 is an abundant number, since it is smaller than the sum of its proper divisors (381755468192).

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

212221321312 is a wasteful number, since it uses less digits than its factorization.

212221321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389781 (or 389773 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

Adding to 212221321312 its reverse (213123122212), we get a palindrome (425344443524).

Subtracting 212221321312 from its reverse (213123122212), we obtain a square (901800900 = 30030²).

The spelling of 212221321312 in words is "two hundred twelve billion, two hundred twenty-one million, three hundred twenty-one thousand, three hundred twelve".