12136122163121 has 8 divisors (see below), whose sum is σ = 13239508407264. Its totient is φ = 11032752987520.

The previous prime is 12136122163043. The next prime is 12136122163177.

12136122163121 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-12136122163121 is a prime.

It is a super-2 number, since 2×12136122163121² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12136122163021) 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 7 ways as a sum of consecutive naturals, for example, 2757215 + ... + 5645748.

It is an arithmetic number, because the mean of its divisors is an integer number (1654938550908).

Almost surely, 2^{12136122163121} is an apocalyptic number.

12136122163121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12136122163121 is a deficient number, since it is larger than the sum of its proper divisors (1103386244143).

12136122163121 is a wasteful number, since it uses less digits than its factorization.

12136122163121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8534271.

The product of its digits is 5184, while the sum is 32.

It can be divided in two parts, 1213612 and 2163121, that added together give a palindrome (3376733).

The spelling of 12136122163121 in words is "twelve trillion, one hundred thirty-six billion, one hundred twenty-two million, one hundred sixty-three thousand, one hundred twenty-one".