202202020020 has 768 divisors, whose sum is σ = 821973196800. Its totient is φ = 35742228480.

The previous prime is 202202020019. The next prime is 202202020073. The reversal of 202202020020 is 20020202202.

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 = 202202019978 and 202202020005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 42219786 + ... + 42224574.

It is an arithmetic number, because the mean of its divisors is an integer number (1070277600).

Almost surely, 2^202202020020 is an apocalyptic number.

202202020020 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 202202020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410986598400).

202202020020 is an abundant number, since it is smaller than the sum of its proper divisors (619771176780).

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

202202020020 is a wasteful number, since it uses less digits than its factorization.

202202020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4888 (or 4886 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 202202020020 its reverse (20020202202), we get a palindrome (222222222222).

The spelling of 202202020020 in words is "two hundred two billion, two hundred two million, twenty thousand, twenty".