221122220122120 has 16 divisors (see below), whose sum is σ = 497524995274860. Its totient is φ = 88448888048832.

The previous prime is 221122220122007. The next prime is 221122220122123. The reversal of 221122220122120 is 21221022221122.

It can be written as a sum of positive squares in 2 ways, for example, as 205088234093604 + 16033986028516 = 14320902^2 + 4004246^2 .

It is a junction number, because it is equal to n+sod(n) for n = 221122220122091 and 221122220122100.

It is not an unprimeable number, because it can be changed into a prime (221122220122123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2764027751487 + ... + 2764027751566.

Almost surely, 2^{221122220122120} is an apocalyptic number.

221122220122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221122220122120 is an abundant number, since it is smaller than the sum of its proper divisors (276402775152740).

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

221122220122120 is a wasteful number, since it uses less digits than its factorization.

221122220122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5528055503064 (or 5528055503060 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 221122220122120 its reverse (21221022221122), we get a palindrome (242343242343242).

The spelling of 221122220122120 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, two hundred twenty million, one hundred twenty-two thousand, one hundred twenty".