12102114511872 has 264 divisors, whose sum is σ = 43567287359232. Its totient is φ = 3143406182400.

The previous prime is 12102114511841. The next prime is 12102114511909. The reversal of 12102114511872 is 27811541120121.

12102114511872 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 21 + 1 + 451 + 187 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×12102114511872² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7817404 + ... + 9236667.

Almost surely, 2^{12102114511872} is an apocalyptic number.

12102114511872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12102114511872 is an abundant number, since it is smaller than the sum of its proper divisors (31465172847360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12102114511872 is a wasteful number, since it uses less digits than its factorization.

12102114511872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17054115 (or 17054094 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 36.

Adding to 12102114511872 its reverse (27811541120121), we get a palindrome (39913655631993).

The spelling of 12102114511872 in words is "twelve trillion, one hundred two billion, one hundred fourteen million, five hundred eleven thousand, eight hundred seventy-two".