212031331000020 has 384 divisors, whose sum is σ = 786727997153280. Its totient is φ = 46353564195840.

The previous prime is 212031331000003. The next prime is 212031331000057. The reversal of 212031331000020 is 20000133130212.

212031331000020 is a `hidden beast` number, since 2 + 1 + 20 + 313 + 310 + 0 + 0 + 0 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 212031330999957 and 212031331000002.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 1209508575 + ... + 1209683865.

It is an arithmetic number, because the mean of its divisors is an integer number (2048770825920).

Almost surely, 2^{212031331000020} is an apocalyptic number.

212031331000020 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 212031331000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393363998576640).

212031331000020 is an abundant number, since it is smaller than the sum of its proper divisors (574696666153260).

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

212031331000020 is a wasteful number, since it uses less digits than its factorization.

212031331000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189252 (or 189244 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 212031331000020 its reverse (20000133130212), we get a palindrome (232031464130232).

The spelling of 212031331000020 in words is "two hundred twelve trillion, thirty-one billion, three hundred thirty-one million, twenty", and thus it is an aban number.