212202022210020 has 144 divisors (see below), whose sum is σ = 661098480697200. Its totient is φ = 55055967141888.

The previous prime is 212202022209949. The next prime is 212202022210027. The reversal of 212202022210020 is 20012220202212.

212202022210020 is a `hidden beast` number, since 2 + 1 + 220 + 202 + 221 + 0 + 0 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6568487164836 + 205633535045184 = 2562906^2 + 14339928^2 .

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 = 212202022209975 and 212202022210002.

It is not an unprimeable number, because it can be changed into a prime (212202022210027) 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 47 ways as a sum of consecutive naturals, for example, 202961556 + ... + 204004404.

Almost surely, 2^{212202022210020} is an apocalyptic number.

212202022210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212202022210020 is an abundant number, since it is smaller than the sum of its proper divisors (448896458487180).

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

212202022210020 is a wasteful number, since it uses less digits than its factorization.

212202022210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073454 (or 1073449 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 212202022210020 its reverse (20012220202212), we get a palindrome (232214242412232).

The spelling of 212202022210020 in words is "two hundred twelve trillion, two hundred two billion, twenty-two million, two hundred ten thousand, twenty".