221122130020 has 72 divisors (see below), whose sum is σ = 515462472504. Its totient is φ = 79611840000.

The previous prime is 221122129997. The next prime is 221122130039. The reversal of 221122130020 is 20031221122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 93661705764 + 127460424256 = 306042^2 + 357016^2 .

It is a junction number, because it is equal to n+sod(n) for n = 221122129976 and 221122130003.

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, 207921 + ... + 696760.

It is an arithmetic number, because the mean of its divisors is an integer number (7159201007).

Almost surely, 2^221122130020 is an apocalyptic number.

221122130020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221122130020 is an abundant number, since it is smaller than the sum of its proper divisors (294340342484).

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

221122130020 is a wasteful number, since it uses less digits than its factorization.

221122130020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904813 (or 904800 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 221122130020 its reverse (20031221122), we get a palindrome (241153351142).

The spelling of 221122130020 in words is "two hundred twenty-one billion, one hundred twenty-two million, one hundred thirty thousand, twenty".