221122012002120 has 96 divisors (see below), whose sum is σ = 721240931169720. Its totient is φ = 58752996664320.

The previous prime is 221122012002109. The next prime is 221122012002163. The reversal of 221122012002120 is 21200210221122.

It is a happy number.

221122012002120 is a `hidden beast` number, since 2 + 211 + 220 + 1 + 20 + 0 + 212 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 151224620264964 + 69897391737156 = 12297342^2 + 8360466^2 .

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 = 221122012002093 and 221122012002102.

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, 1108614741 + ... + 1108814180.

Almost surely, 2^{221122012002120} is an apocalyptic number.

221122012002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221122012002120 is an abundant number, since it is smaller than the sum of its proper divisors (500118919167600).

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

221122012002120 is a wasteful number, since it uses less digits than its factorization.

221122012002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2217429215 (or 2217429208 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221122012002120 its reverse (21200210221122), we get a palindrome (242322222223242).

The spelling of 221122012002120 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, twelve million, two thousand, one hundred twenty".