212213133132 has 576 divisors, whose sum is σ = 694301368320. Its totient is φ = 49576665600.

The previous prime is 212213133127. The next prime is 212213133137. The reversal of 212213133132 is 231331312212.

It is an interprime number because it is at equal distance from previous prime (212213133127) and next prime (212213133137).

It is a super-2 number, since 2×212213133132² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (212213133137) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 783074157 + ... + 783074427.

It is an arithmetic number, because the mean of its divisors is an integer number (1205384320).

Almost surely, 2^212213133132 is an apocalyptic number.

212213133132 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 212213133132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347150684160).

212213133132 is an abundant number, since it is smaller than the sum of its proper divisors (482088235188).

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

212213133132 is a wasteful number, since it uses less digits than its factorization.

212213133132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 513 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

Adding to 212213133132 its reverse (231331312212), we get a palindrome (443544445344).

The spelling of 212213133132 in words is "two hundred twelve billion, two hundred thirteen million, one hundred thirty-three thousand, one hundred thirty-two".