12167276121 has 144 divisors (see below), whose sum is σ = 24190508160. Its totient is φ = 5732812800.

The previous prime is 12167276113. The next prime is 12167276141.

12167276121 is a `hidden beast` number, since 1 + 2 + 16 + 7 + 27 + 612 + 1 = 666.

12167276121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12167276121 - 2³ = 12167276113 is a prime.

It is a super-3 number, since 3×12167276121³ (a number of 31 digits) contains 333 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12167276101) 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 143 ways as a sum of consecutive naturals, for example, 5845801 + ... + 5847881.

It is an arithmetic number, because the mean of its divisors is an integer number (167989640).

Almost surely, 2^12167276121 is an apocalyptic number.

12167276121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12167276121 is a deficient number, since it is larger than the sum of its proper divisors (12023232039).

12167276121 is a wasteful number, since it uses less digits than its factorization.

12167276121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188 (or 2174 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The spelling of 12167276121 in words is "twelve billion, one hundred sixty-seven million, two hundred seventy-six thousand, one hundred twenty-one".