221313122120 has 16 divisors (see below), whose sum is σ = 497954524860. Its totient is φ = 88525248832.

The previous prime is 221313122089. The next prime is 221313122179. The reversal of 221313122120 is 21221313122.

221313122120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 196211789764 + 25101332356 = 442958^2 + 158434^2 .

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 = 221313122092 and 221313122101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2766413987 + ... + 2766414066.

Almost surely, 2^221313122120 is an apocalyptic number.

221313122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221313122120 is an abundant number, since it is smaller than the sum of its proper divisors (276641402740).

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

221313122120 is a wasteful number, since it uses less digits than its factorization.

221313122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5532828064 (or 5532828060 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 221313122120 its reverse (21221313122), we get a palindrome (242534435242).

The spelling of 221313122120 in words is "two hundred twenty-one billion, three hundred thirteen million, one hundred twenty-two thousand, one hundred twenty".