12102002112200 has 384 divisors, whose sum is σ = 37795900907520. Its totient is φ = 3480296371200.

The previous prime is 12102002112119. The next prime is 12102002112259. The reversal of 12102002112200 is 221120020121.

It is a super-2 number, since 2×12102002112200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 477063917 + ... + 477089283.

It is an arithmetic number, because the mean of its divisors is an integer number (98426825280).

Almost surely, 2^{12102002112200} is an apocalyptic number.

12102002112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12102002112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18897950453760).

12102002112200 is an abundant number, since it is smaller than the sum of its proper divisors (25693898795320).

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

12102002112200 is a wasteful number, since it uses less digits than its factorization.

12102002112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27797 (or 27788 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12102002112200 its reverse (221120020121), we get a palindrome (12323122132321).

The spelling of 12102002112200 in words is "twelve trillion, one hundred two billion, two million, one hundred twelve thousand, two hundred".