212312321341020 has 288 divisors, whose sum is σ = 660204397524672. Its totient is φ = 55198194315264.

The previous prime is 212312321341007. The next prime is 212312321341027. The reversal of 212312321341020 is 20143123213212.

212312321341020 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 1 + 232 + 13 + 410 + 2 + 0 = 666.

It is a super-2 number, since 2×212312321341020² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212312321341027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30694274602 + ... + 30694281518.

It is an arithmetic number, because the mean of its divisors is an integer number (2292376380294).

Almost surely, 2^{212312321341020} is an apocalyptic number.

212312321341020 is a gapful number since it is divisible by the number (20) 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 212312321341020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330102198762336).

212312321341020 is an abundant number, since it is smaller than the sum of its proper divisors (447892076183652).

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

212312321341020 is a wasteful number, since it uses less digits than its factorization.

212312321341020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13701 (or 13696 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 212312321341020 its reverse (20143123213212), we get a palindrome (232455444554232).

The spelling of 212312321341020 in words is "two hundred twelve trillion, three hundred twelve billion, three hundred twenty-one million, three hundred forty-one thousand, twenty".