12141433414121 has 48 divisors (see below), whose sum is σ = 14043467059200. Its totient is φ = 10396426920000.

The previous prime is 12141433414079. The next prime is 12141433414127.

12141433414121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12141433414121 - 2¹⁸ = 12141433151977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12141433414127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205204340 + ... + 205263498.

It is an arithmetic number, because the mean of its divisors is an integer number (292572230400).

Almost surely, 2^{12141433414121} is an apocalyptic number.

12141433414121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12141433414121 is a deficient number, since it is larger than the sum of its proper divisors (1902033645079).

12141433414121 is a wasteful number, since it uses less digits than its factorization.

12141433414121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59462 (or 59361 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

It can be divided in two parts, 1214143 and 3414121, that added together give a palindrome (4628264).

The spelling of 12141433414121 in words is "twelve trillion, one hundred forty-one billion, four hundred thirty-three million, four hundred fourteen thousand, one hundred twenty-one".