221000222111220 has 72 divisors (see below), whose sum is σ = 693483455606760. Its totient is φ = 56901206611200.

The previous prime is 221000222111167. The next prime is 221000222111353. The reversal of 221000222111220 is 22111222000122.

It is a happy number.

221000222111220 is a `hidden beast` number, since 2 + 210 + 0 + 0 + 2 + 221 + 11 + 220 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15101944198884 + 205898277912336 = 3886122^2 + 14349156^2 .

It is a super-3 number, since 3×221000222111220³ (a number of 44 digits) contains 333 as substring.

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 = 221000222111193 and 221000222111202.

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, 21168598431 + ... + 21168608870.

It is an arithmetic number, because the mean of its divisors is an integer number (9631714661205).

Almost surely, 2^{221000222111220} is an apocalyptic number.

221000222111220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221000222111220 is an abundant number, since it is smaller than the sum of its proper divisors (472483233495540).

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

221000222111220 is a wasteful number, since it uses less digits than its factorization.

221000222111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42337207345 (or 42337207340 counting only the distinct ones).

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

Adding to 221000222111220 its reverse (22111222000122), we get a palindrome (243111444111342).

It can be divided in two parts, 22100022 and 2111220, that added together give a palindrome (24211242).

The spelling of 221000222111220 in words is "two hundred twenty-one trillion, two hundred twenty-two million, one hundred eleven thousand, two hundred twenty".