12122110220121 has 96 divisors (see below), whose sum is σ = 20985895082880. Its totient is φ = 6662184422400.

The previous prime is 12122110220119. The next prime is 12122110220123. The reversal of 12122110220121 is 12102201122121.

12122110220121 is a `hidden beast` number, since 1 + 212 + 2 + 110 + 220 + 121 = 666.

It is an interprime number because it is at equal distance from previous prime (12122110220119) and next prime (12122110220123).

It is not a de Polignac number, because 12122110220121 - 2¹ = 12122110220119 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12122110220094 and 12122110220103.

It is not an unprimeable number, because it can be changed into a prime (12122110220123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2604555 + ... + 5570271.

It is an arithmetic number, because the mean of its divisors is an integer number (218603073780).

Almost surely, 2^{12122110220121} is an apocalyptic number.

12122110220121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12122110220121 is a deficient number, since it is larger than the sum of its proper divisors (8863784862759).

12122110220121 is a wasteful number, since it uses less digits than its factorization.

12122110220121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2965847 (or 2965844 counting only the distinct ones).

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

Adding to 12122110220121 its reverse (12102201122121), we get a palindrome (24224311342242).

The spelling of 12122110220121 in words is "twelve trillion, one hundred twenty-two billion, one hundred ten million, two hundred twenty thousand, one hundred twenty-one".