202002222120120 has 96 divisors (see below), whose sum is σ = 674250660364320. Its totient is φ = 52411387357440.

The previous prime is 202002222120113. The next prime is 202002222120163. The reversal of 202002222120120 is 21021222200202.

202002222120120 is a `hidden beast` number, since 2 + 0 + 200 + 2 + 222 + 120 + 120 = 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 = 202002222120093 and 202002222120102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7582652676 + ... + 7582679315.

It is an arithmetic number, because the mean of its divisors is an integer number (7023444378795).

Almost surely, 2^{202002222120120} is an apocalyptic number.

202002222120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202002222120120 is an abundant number, since it is smaller than the sum of its proper divisors (472248438244200).

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

202002222120120 is a wasteful number, since it uses less digits than its factorization.

202002222120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15165332045 (or 15165332038 counting only the distinct ones).

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

Adding to 202002222120120 its reverse (21021222200202), we get a palindrome (223023444320322).

The spelling of 202002222120120 in words is "two hundred two trillion, two billion, two hundred twenty-two million, one hundred twenty thousand, one hundred twenty".