12122122020012 has 144 divisors (see below), whose sum is σ = 30913956309600. Its totient is φ = 4005051531264.

The previous prime is 12122122020011. The next prime is 12122122020013. The reversal of 12122122020012 is 21002022122121.

It is a happy number.

12122122020012 is a `hidden beast` number, since 1 + 21 + 221 + 220 + 200 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (12122122020011) and next prime (12122122020013).

It is a super-3 number, since 3×12122122020012³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (12122122020011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1721155363 + ... + 1721162405.

It is an arithmetic number, because the mean of its divisors is an integer number (214680252150).

Almost surely, 2^{12122122020012} is an apocalyptic number.

12122122020012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12122122020012 is an abundant number, since it is smaller than the sum of its proper divisors (18791834289588).

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

12122122020012 is a wasteful number, since it uses less digits than its factorization.

12122122020012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8192 (or 8187 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12122122020012 its reverse (21002022122121), we get a palindrome (33124144142133).

The spelling of 12122122020012 in words is "twelve trillion, one hundred twenty-two billion, one hundred twenty-two million, twenty thousand, twelve".