212122220000020 has 96 divisors (see below), whose sum is σ = 514605921088896. Its totient is φ = 72588420710400.

The previous prime is 212122220000011. The next prime is 212122220000021. The reversal of 212122220000020 is 20000022221212.

It is a junction number, because it is equal to n+sod(n) for n = 212122219999949 and 212122220000003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212122220000021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24705300 + ... + 32165140.

It is an arithmetic number, because the mean of its divisors is an integer number (5360478344676).

Almost surely, 2^{212122220000020} is an apocalyptic number.

212122220000020 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 212122220000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257302960544448).

212122220000020 is an abundant number, since it is smaller than the sum of its proper divisors (302483701088876).

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

212122220000020 is a wasteful number, since it uses less digits than its factorization.

212122220000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7467481 (or 7467479 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 212122220000020 its reverse (20000022221212), we get a palindrome (232122242221232).

The spelling of 212122220000020 in words is "two hundred twelve trillion, one hundred twenty-two billion, two hundred twenty million, twenty", and thus it is an aban number.