12121505105125 has 32 divisors (see below), whose sum is σ = 16291698250464. Its totient is φ = 8951048064000.

The previous prime is 12121505105089. The next prime is 12121505105159. The reversal of 12121505105125 is 52150150512121.

It can be written as a sum of positive squares in 16 ways, for example, as 11637090497124 + 484414608001 = 3411318^2 + 695999^2 .

It is not a de Polignac number, because 12121505105125 - 2¹⁹ = 12121504580837 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103000317 + ... + 103117933.

It is an arithmetic number, because the mean of its divisors is an integer number (509115570327).

Almost surely, 2^{12121505105125} is an apocalyptic number.

It is an amenable number.

12121505105125 is a deficient number, since it is larger than the sum of its proper divisors (4170193145339).

12121505105125 is a wasteful number, since it uses less digits than its factorization.

12121505105125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181066 (or 181056 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 31.

Adding to 12121505105125 its reverse (52150150512121), we get a palindrome (64271655617246).

The spelling of 12121505105125 in words is "twelve trillion, one hundred twenty-one billion, five hundred five million, one hundred five thousand, one hundred twenty-five".