121131131121 has 192 divisors, whose sum is σ = 240048506880. Its totient is φ = 56827008000.

The previous prime is 121131131117. The next prime is 121131131131.

121131131121 is a `hidden beast` number, since 1 + 21 + 1 + 311 + 311 + 21 = 666.

121131131121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 121131131121 - 2² = 121131131117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121131131094 and 121131131103.

It is not an unprimeable number, because it can be changed into a prime (121131131131) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 149359806 + ... + 149360616.

It is an arithmetic number, because the mean of its divisors is an integer number (1250252640).

Almost surely, 2^121131131121 is an apocalyptic number.

121131131121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121131131121 is a deficient number, since it is larger than the sum of its proper divisors (118917375759).

121131131121 is a wasteful number, since it uses less digits than its factorization.

121131131121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1185 counting only the distinct ones).

The product of its digits is 36, while the sum is 18.

It can be divided in two parts, 121131 and 131121, that added together give a palindrome (252252).

The spelling of 121131131121 in words is "one hundred twenty-one billion, one hundred thirty-one million, one hundred thirty-one thousand, one hundred twenty-one".