12010221232200 has 240 divisors, whose sum is σ = 41716382502960. Its totient is φ = 3202487280000.

The previous prime is 12010221232171. The next prime is 12010221232201. The reversal of 12010221232200 is 223212201021.

12010221232200 is a `hidden beast` number, since 1 + 2 + 0 + 10 + 221 + 232 + 200 = 666.

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 (12010221232201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 374706175 + ... + 374738225.

It is an arithmetic number, because the mean of its divisors is an integer number (173818260429).

Almost surely, 2^{12010221232200} is an apocalyptic number.

12010221232200 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 12010221232200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20858191251480).

12010221232200 is an abundant number, since it is smaller than the sum of its proper divisors (29706161270760).

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

12010221232200 is a wasteful number, since it uses less digits than its factorization.

12010221232200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55210 (or 55192 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12010221232200 its reverse (223212201021), we get a palindrome (12233433433221).

The spelling of 12010221232200 in words is "twelve trillion, ten billion, two hundred twenty-one million, two hundred thirty-two thousand, two hundred".