202212212020020 has 288 divisors, whose sum is σ = 646129933446816. Its totient is φ = 51121937203200.

The previous prime is 202212212019977. The next prime is 202212212020051. The reversal of 202212212020020 is 20020212212202.

202212212020020 is a `hidden beast` number, since 2 + 0 + 221 + 221 + 2 + 0 + 200 + 20 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 22068892644516 + 180143319375504 = 4697754^2 + 13421748^2 .

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 = 202212212019975 and 202212212020002.

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 95 ways as a sum of consecutive naturals, for example, 217164240 + ... + 218093400.

It is an arithmetic number, because the mean of its divisors is an integer number (2243506713357).

Almost surely, 2^{202212212020020} is an apocalyptic number.

202212212020020 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 202212212020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323064966723408).

202212212020020 is an abundant number, since it is smaller than the sum of its proper divisors (443917721426796).

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

202212212020020 is a wasteful number, since it uses less digits than its factorization.

202212212020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930051 (or 930046 counting only the distinct ones).

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

Adding to 202212212020020 its reverse (20020212212202), we get a palindrome (222232424232222).

The spelling of 202212212020020 in words is "two hundred two trillion, two hundred twelve billion, two hundred twelve million, twenty thousand, twenty".