12121110223200 has 432 divisors, whose sum is σ = 47887927070256. Its totient is φ = 2859032678400.

The previous prime is 12121110223171. The next prime is 12121110223213. The reversal of 12121110223200 is 232201112121.

12121110223200 is a `hidden beast` number, since 1 + 21 + 211 + 10 + 223 + 200 = 666.

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

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 862234 + ... + 4998566.

It is an arithmetic number, because the mean of its divisors is an integer number (110851683033).

Almost surely, 2^{12121110223200} is an apocalyptic number.

12121110223200 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 12121110223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23943963535128).

12121110223200 is an abundant number, since it is smaller than the sum of its proper divisors (35766816847056).

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

12121110223200 is a wasteful number, since it uses less digits than its factorization.

12121110223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4136407 (or 4136391 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12121110223200 its reverse (232201112121), we get a palindrome (12353311335321).

The spelling of 12121110223200 in words is "twelve trillion, one hundred twenty-one billion, one hundred ten million, two hundred twenty-three thousand, two hundred".