12123544532121 has 48 divisors (see below), whose sum is σ = 19639084608000. Its totient is φ = 7142096021760.

The previous prime is 12123544532093. The next prime is 12123544532191.

12123544532121 is a `hidden beast` number, since 1 + 2 + 1 + 23 + 544 + 53 + 21 + 21 = 666.

12123544532121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12123544532121 - 2¹⁷ = 12123544401049 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12123544532191) 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, 2181880 + ... + 5385878.

It is an arithmetic number, because the mean of its divisors is an integer number (409147596000).

Almost surely, 2^{12123544532121} is an apocalyptic number.

12123544532121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12123544532121 is a deficient number, since it is larger than the sum of its proper divisors (7515540075879).

12123544532121 is a wasteful number, since it uses less digits than its factorization.

12123544532121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3205086 (or 3205083 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

It can be divided in two parts, 1212354 and 4532121, that added together give a palindrome (5744475).

The spelling of 12123544532121 in words is "twelve trillion, one hundred twenty-three billion, five hundred forty-four million, five hundred thirty-two thousand, one hundred twenty-one".