12222120122120 has 64 divisors (see below), whose sum is σ = 28101776854320. Its totient is φ = 4782372102144.

The previous prime is 12222120122117. The next prime is 12222120122123. The reversal of 12222120122120 is 2122102122221.

It is an interprime number because it is at equal distance from previous prime (12222120122117) and next prime (12222120122123).

It can be written as a sum of positive squares in 8 ways, for example, as 3901976016964 + 8320144105156 = 1975342^2 + 2884466^2 .

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 = 12222120122092 and 12222120122101.

It is not an unprimeable number, because it can be changed into a prime (12222120122123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7839197 + ... + 9268076.

Almost surely, 2^{12222120122120} is an apocalyptic number.

12222120122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12222120122120 is an abundant number, since it is smaller than the sum of its proper divisors (15879656732200).

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

12222120122120 is a wasteful number, since it uses less digits than its factorization.

12222120122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17107674 (or 17107670 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 12222120122120 its reverse (2122102122221), we get a palindrome (14344222244341).

The spelling of 12222120122120 in words is "twelve trillion, two hundred twenty-two billion, one hundred twenty million, one hundred twenty-two thousand, one hundred twenty".