121242282242121 has 48 divisors (see below), whose sum is σ = 178559490844800. Its totient is φ = 79264713542400.

The previous prime is 121242282242101. The next prime is 121242282242177.

121242282242121 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 4 + 228 + 2 + 2 + 421 + 2 + 1 = 666.

121242282242121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 121242282242121 - 2¹⁰ = 121242282241097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121242282242101) 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, 31169365 + ... + 34842701.

It is an arithmetic number, because the mean of its divisors is an integer number (3719989392600).

Almost surely, 2^{121242282242121} is an apocalyptic number.

It is an amenable number.

121242282242121 is a deficient number, since it is larger than the sum of its proper divisors (57317208602679).

121242282242121 is a wasteful number, since it uses less digits than its factorization.

121242282242121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3673806 (or 3673803 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The spelling of 121242282242121 in words is "one hundred twenty-one trillion, two hundred forty-two billion, two hundred eighty-two million, two hundred forty-two thousand, one hundred twenty-one".