121112121211121 has 64 divisors (see below), whose sum is σ = 127394781696000. Its totient is φ = 115041304166400.

The previous prime is 121112121211087. The next prime is 121112121211129.

121112121211121 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 121112121211121 - 2¹⁸ = 121112120948977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121112121211093 and 121112121211102.

It is not an unprimeable number, because it can be changed into a prime (121112121211129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115454833805 + ... + 115454834853.

It is an arithmetic number, because the mean of its divisors is an integer number (1990543464000).

Almost surely, 2^{121112121211121} is an apocalyptic number.

It is an amenable number.

121112121211121 is a deficient number, since it is larger than the sum of its proper divisors (6282660484879).

121112121211121 is a wasteful number, since it uses less digits than its factorization.

121112121211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2610.

The product of its digits is 32, while the sum is 20.

The spelling of 121112121211121 in words is "one hundred twenty-one trillion, one hundred twelve billion, one hundred twenty-one million, two hundred eleven thousand, one hundred twenty-one".