221222201200020 has 60 divisors (see below), whose sum is σ = 693982238584404. Its totient is φ = 58992586986240.

The previous prime is 221222201199977. The next prime is 221222201200073. The reversal of 221222201200020 is 20002102222122.

221222201200020 is a `hidden beast` number, since 2 + 21 + 222 + 201 + 200 + 0 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38488797076356 + 182733404123664 = 6203934^2 + 13517892^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 = 221222201199966 and 221222201200002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 68278455541 + ... + 68278458780.

Almost surely, 2^{221222201200020} is an apocalyptic number.

221222201200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221222201200020 is an abundant number, since it is smaller than the sum of its proper divisors (472760037384384).

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

221222201200020 is a wasteful number, since it uses less digits than its factorization.

221222201200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136556914342 (or 136556914331 counting only the distinct ones).

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

Adding to 221222201200020 its reverse (20002102222122), we get a palindrome (241224303422142).

The spelling of 221222201200020 in words is "two hundred twenty-one trillion, two hundred twenty-two billion, two hundred one million, two hundred thousand, twenty".