12122212110120 has 288 divisors, whose sum is σ = 47821967032320. Its totient is φ = 2650322062080.

The previous prime is 12122212110083. The next prime is 12122212110121. The reversal of 12122212110120 is 2101121222121.

12122212110120 is a `hidden beast` number, since 1 + 212 + 221 + 2 + 110 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12122212110093 and 12122212110102.

It is not an unprimeable number, because it can be changed into a prime (12122212110121) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 14533416 + ... + 15344855.

It is an arithmetic number, because the mean of its divisors is an integer number (166048496640).

Almost surely, 2^{12122212110120} is an apocalyptic number.

12122212110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122212110120 is an abundant number, since it is smaller than the sum of its proper divisors (35699754922200).

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

12122212110120 is a wasteful number, since it uses less digits than its factorization.

12122212110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29878325 (or 29878311 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12122212110120 its reverse (2101121222121), we get a palindrome (14223333332241).

The spelling of 12122212110120 in words is "twelve trillion, one hundred twenty-two billion, two hundred twelve million, one hundred ten thousand, one hundred twenty".