121113311121 has 48 divisors (see below), whose sum is σ = 196078653888. Its totient is φ = 71390678400.

The previous prime is 121113311083. The next prime is 121113311129.

121113311121 is a `hidden beast` number, since 1 + 211 + 1 + 331 + 1 + 121 = 666.

121113311121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 121113311121 - 2⁹ = 121113310609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121113311094 and 121113311103.

It is not an unprimeable number, because it can be changed into a prime (121113311129) 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, 13317786 + ... + 13326876.

It is an arithmetic number, because the mean of its divisors is an integer number (4084971956).

Almost surely, 2^121113311121 is an apocalyptic number.

121113311121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121113311121 is a deficient number, since it is larger than the sum of its proper divisors (74965342767).

121113311121 is a wasteful number, since it uses less digits than its factorization.

121113311121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12782 (or 12779 counting only the distinct ones).

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

It can be divided in two parts, 121113 and 311121, that added together give a palindrome (432234).

The spelling of 121113311121 in words is "one hundred twenty-one billion, one hundred thirteen million, three hundred eleven thousand, one hundred twenty-one".