121433404334121 has 72 divisors (see below), whose sum is σ = 206273547509120. Its totient is φ = 68579535816000.

The previous prime is 121433404334087. The next prime is 121433404334167.

121433404334121 is a `hidden beast` number, since 1 + 2 + 143 + 3 + 40 + 433 + 41 + 2 + 1 = 666.

121433404334121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 121433404334121 - 2³⁰ = 121432330592297 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (121433404334821) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46843585 + ... + 49367886.

Almost surely, 2^{121433404334121} is an apocalyptic number.

121433404334121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121433404334121 is a deficient number, since it is larger than the sum of its proper divisors (84840143174999).

121433404334121 is a wasteful number, since it uses less digits than its factorization.

121433404334121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96211579 (or 96211565 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

It can be divided in two parts, 12143340 and 4334121, that added together give a palindrome (16477461).

The spelling of 121433404334121 in words is "one hundred twenty-one trillion, four hundred thirty-three billion, four hundred four million, three hundred thirty-four thousand, one hundred twenty-one".