12102212221200 has 180 divisors, whose sum is σ = 43446246719460. Its totient is φ = 3115971855360.

The previous prime is 12102212221147. The next prime is 12102212221201. The reversal of 12102212221200 is 212221220121.

It is a happy number.

12102212221200 is a `hidden beast` number, since 1 + 21 + 0 + 221 + 2 + 221 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2617561580544 + 9484650640656 = 1617888^2 + 3079716^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12102212221201) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 57856387 + ... + 58065186.

Almost surely, 2^{12102212221200} is an apocalyptic number.

12102212221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102212221200 is an abundant number, since it is smaller than the sum of its proper divisors (31344034498260).

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

12102212221200 is a wasteful number, since it uses less digits than its factorization.

12102212221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115921626 (or 115921612 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12102212221200 its reverse (212221220121), we get a palindrome (12314433441321).

The spelling of 12102212221200 in words is "twelve trillion, one hundred two billion, two hundred twelve million, two hundred twenty-one thousand, two hundred".