202202202022020 has 192 divisors, whose sum is σ = 636171429600000. Its totient is φ = 53312251272192.

The previous prime is 202202202021983. The next prime is 202202202022031. The reversal of 202202202022020 is 20220202202202.

202202202022020 is a `hidden beast` number, since 2 + 0 + 220 + 2 + 202 + 0 + 220 + 20 = 666.

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 = 202202202021984 and 202202202022002.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1177336074 + ... + 1177507806.

It is an arithmetic number, because the mean of its divisors is an integer number (3313392862500).

Almost surely, 2^{202202202022020} is an apocalyptic number.

202202202022020 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 202202202022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318085714800000).

202202202022020 is an abundant number, since it is smaller than the sum of its proper divisors (433969227577980).

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

202202202022020 is a wasteful number, since it uses less digits than its factorization.

202202202022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196339 (or 196331 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 202202202022020 its reverse (20220202202202), we get a palindrome (222422404224222).

The spelling of 202202202022020 in words is "two hundred two trillion, two hundred two billion, two hundred two million, twenty-two thousand, twenty".