12122122122121 has 8 divisors (see below), whose sum is σ = 13224325173984. Its totient is φ = 11019951061920.

The previous prime is 12122122122113. The next prime is 12122122122127.

12122122122121 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12122122122121 - 2³ = 12122122122113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12122122122092 and 12122122122101.

It is not an unprimeable number, because it can be changed into a prime (12122122122127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7202191 + ... + 8724436.

It is an arithmetic number, because the mean of its divisors is an integer number (1653040646748).

Almost surely, 2^{12122122122121} is an apocalyptic number.

12122122122121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12122122122121 is a deficient number, since it is larger than the sum of its proper divisors (1102203051863).

12122122122121 is a wasteful number, since it uses less digits than its factorization.

12122122122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15995831.

The product of its digits is 256, while the sum is 22.

Multiplying 12122122122121 by its sum of digits (22), we get a palindrome (266686686686662).

It can be divided in two parts, 1212212 and 2122121, that added together give a palindrome (3334333).

The spelling of 12122122122121 in words is "twelve trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty-one".