212120020 has 72 divisors (see below), whose sum is σ = 520781184. Its totient is φ = 72362304.

The previous prime is 212120017. The next prime is 212120021. The reversal of 212120020 is 20021212.

212120020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 212119979 and 212120006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212120021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257329 + ... + 258151.

It is an arithmetic number, because the mean of its divisors is an integer number (7233072).

Almost surely, 2^212120020 is an apocalyptic number.

212120020 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 212120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260390592).

212120020 is an abundant number, since it is smaller than the sum of its proper divisors (308661164).

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

212120020 is a wasteful number, since it uses less digits than its factorization.

212120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 212120020 is about 14564.3406991185. The cubic root of 212120020 is about 596.3856976740.

Adding to 212120020 its reverse (20021212), we get a palindrome (232141232).

The spelling of 212120020 in words is "two hundred twelve million, one hundred twenty thousand, twenty".