21202212122120 has 128 divisors (see below), whose sum is σ = 52627844828160. Its totient is φ = 7652332462080.

The previous prime is 21202212122071. The next prime is 21202212122167. The reversal of 21202212122120 is 2122121220212.

It is a super-3 number, since 3×21202212122120³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 21202212122092 and 21202212122101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2444429 + ... + 6955548.

It is an arithmetic number, because the mean of its divisors is an integer number (411155037720).

Almost surely, 2^{21202212122120} is an apocalyptic number.

21202212122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21202212122120 is an abundant number, since it is smaller than the sum of its proper divisors (31425632706040).

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

21202212122120 is a wasteful number, since it uses less digits than its factorization.

21202212122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9400143 (or 9400139 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 21202212122120 its reverse (2122121220212), we get a palindrome (23324333342332).

The spelling of 21202212122120 in words is "twenty-one trillion, two hundred two billion, two hundred twelve million, one hundred twenty-two thousand, one hundred twenty".