120022221000220 has 144 divisors (see below), whose sum is σ = 319525383925440. Its totient is φ = 37066316221440.

The previous prime is 120022221000161. The next prime is 120022221000223. The reversal of 120022221000220 is 22000122220021.

It is a junction number, because it is equal to n+sod(n) for n = 120022221000194 and 120022221000203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120022221000223) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 30654169 + ... + 34347088.

It is an arithmetic number, because the mean of its divisors is an integer number (2218926277260).

Almost surely, 2^{120022221000220} is an apocalyptic number.

120022221000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120022221000220 is an abundant number, since it is smaller than the sum of its proper divisors (199503162925220).

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

120022221000220 is a wasteful number, since it uses less digits than its factorization.

120022221000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65001404 (or 65001391 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 120022221000220 its reverse (22000122220021), we get a palindrome (142022343220241).

The spelling of 120022221000220 in words is "one hundred twenty trillion, twenty-two billion, two hundred twenty-one million, two hundred twenty", and thus it is an aban number.