121122131121 has 24 divisors (see below), whose sum is σ = 180795453696. Its totient is φ = 78089306400.

The previous prime is 121122131113. The next prime is 121122131129. The reversal of 121122131121 is 121131221121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (121122131113) and next prime (121122131129).

It is not a de Polignac number, because 121122131121 - 2³ = 121122131113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121122131094 and 121122131103.

It is not an unprimeable number, because it can be changed into a prime (121122131129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1510305 + ... + 1588478.

It is an arithmetic number, because the mean of its divisors is an integer number (7533143904).

Almost surely, 2^121122131121 is an apocalyptic number.

It is an amenable number.

121122131121 is a deficient number, since it is larger than the sum of its proper divisors (59673322575).

121122131121 is a wasteful number, since it uses less digits than its factorization.

121122131121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3098933 (or 3098930 counting only the distinct ones).

The product of its digits is 48, while the sum is 18.

Adding to 121122131121 its reverse (121131221121), we get a palindrome (242253352242).

The spelling of 121122131121 in words is "one hundred twenty-one billion, one hundred twenty-two million, one hundred thirty-one thousand, one hundred twenty-one".