202220112222120 has 256 divisors, whose sum is σ = 642128881121280. Its totient is φ = 50876072755200.

The previous prime is 202220112222119. The next prime is 202220112222229. The reversal of 202220112222120 is 21222211022202.

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, 21698812 + ... + 29585108.

It is an arithmetic number, because the mean of its divisors is an integer number (2508315941880).

Almost surely, 2^{202220112222120} is an apocalyptic number.

202220112222120 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 202220112222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321064440560640).

202220112222120 is an abundant number, since it is smaller than the sum of its proper divisors (439908768899160).

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

202220112222120 is a wasteful number, since it uses less digits than its factorization.

202220112222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7886516 (or 7886512 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 202220112222120 its reverse (21222211022202), we get a palindrome (223442323244322).

The spelling of 202220112222120 in words is "two hundred two trillion, two hundred twenty billion, one hundred twelve million, two hundred twenty-two thousand, one hundred twenty".