221122212002120 has 64 divisors (see below), whose sum is σ = 584504868104640. Its totient is φ = 74222840390400.

The previous prime is 221122212002113. The next prime is 221122212002189. The reversal of 221122212002120 is 21200212221122.

It is a super-3 number, since 3×221122212002120³ (a number of 44 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 = 221122212002092 and 221122212002101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19328858966 + ... + 19328870405.

It is an arithmetic number, because the mean of its divisors is an integer number (9132888564135).

Almost surely, 2^{221122212002120} is an apocalyptic number.

221122212002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221122212002120 is an abundant number, since it is smaller than the sum of its proper divisors (363382656102520).

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

221122212002120 is a wasteful number, since it uses less digits than its factorization.

221122212002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38657729406 (or 38657729402 counting only the distinct ones).

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

Adding to 221122212002120 its reverse (21200212221122), we get a palindrome (242322424223242).

The spelling of 221122212002120 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, two hundred twelve million, two thousand, one hundred twenty".