12106433460121 has 128 divisors (see below), whose sum is σ = 17639521320960. Its totient is φ = 7991814758400.

The previous prime is 12106433460119. The next prime is 12106433460133.

12106433460121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12106433460121 - 2¹ = 12106433460119 is a prime.

It is a super-2 number, since 2×12106433460121² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12106433460101) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2209603660 + ... + 2209609138.

It is an arithmetic number, because the mean of its divisors is an integer number (137808760320).

Almost surely, 2^{12106433460121} is an apocalyptic number.

12106433460121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12106433460121 is a deficient number, since it is larger than the sum of its proper divisors (5533087860839).

12106433460121 is a wasteful number, since it uses less digits than its factorization.

12106433460121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8735.

The product of its (nonzero) digits is 20736, while the sum is 34.

It can be divided in two parts, 1210643 and 3460121, that added together give a palindrome (4670764).

The spelling of 12106433460121 in words is "twelve trillion, one hundred six billion, four hundred thirty-three million, four hundred sixty thousand, one hundred twenty-one".