212202010020 has 576 divisors, whose sum is σ = 825624027648. Its totient is φ = 39597465600.

The previous prime is 212202009961. The next prime is 212202010037. The reversal of 212202010020 is 20010202212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 212202009978 and 212202010005.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24440080 + ... + 24448760.

It is an arithmetic number, because the mean of its divisors is an integer number (1433375048).

Almost surely, 2^212202010020 is an apocalyptic number.

212202010020 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 212202010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412812013824).

212202010020 is an abundant number, since it is smaller than the sum of its proper divisors (613422017628).

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

212202010020 is a wasteful number, since it uses less digits than its factorization.

212202010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8772 (or 8759 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 212202010020 its reverse (20010202212), we get a palindrome (232212212232).

The spelling of 212202010020 in words is "two hundred twelve billion, two hundred two million, ten thousand, twenty".