221022000222120 has 96 divisors (see below), whose sum is σ = 724911606361800. Its totient is φ = 58398473442816.

The previous prime is 221022000222103. The next prime is 221022000222209. The reversal of 221022000222120 is 21222000220122.

221022000222120 is a `hidden beast` number, since 2 + 210 + 220 + 0 + 0 + 22 + 212 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 176009521192164 + 45012479029956 = 13266858^2 + 6709134^2 .

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 = 221022000222093 and 221022000222102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2816245167 + ... + 2816323646.

Almost surely, 2^{221022000222120} is an apocalyptic number.

221022000222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221022000222120 is an abundant number, since it is smaller than the sum of its proper divisors (503889606139680).

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

221022000222120 is a wasteful number, since it uses less digits than its factorization.

221022000222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5632568939 (or 5632568932 counting only the distinct ones).

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

Adding to 221022000222120 its reverse (21222000220122), we get a palindrome (242244000442242).

The spelling of 221022000222120 in words is "two hundred twenty-one trillion, twenty-two billion, two hundred twenty-two thousand, one hundred twenty".