121365563121 has 12 divisors (see below), whose sum is σ = 191242705680. Its totient is φ = 73554886680.

The previous prime is 121365563089. The next prime is 121365563213.

121365563121 is a `hidden beast` number, since 1 + 2 + 13 + 6 + 5 + 5 + 631 + 2 + 1 = 666.

121365563121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 121365563121 - 2⁵ = 121365563089 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (121365563021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 612957291 + ... + 612957488.

It is an arithmetic number, because the mean of its divisors is an integer number (15936892140).

Almost surely, 2^121365563121 is an apocalyptic number.

121365563121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121365563121 is a deficient number, since it is larger than the sum of its proper divisors (69877142559).

121365563121 is a wasteful number, since it uses less digits than its factorization.

121365563121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225914796 (or 1225914793 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

It can be divided in two parts, 121365 and 563121, that added together give a palindrome (684486).

The spelling of 121365563121 in words is "one hundred twenty-one billion, three hundred sixty-five million, five hundred sixty-three thousand, one hundred twenty-one".