12330011212200 has 288 divisors, whose sum is σ = 45208648648800. Its totient is φ = 2986713408000.

The previous prime is 12330011212187. The next prime is 12330011212297. The reversal of 12330011212200 is 221211003321.

12330011212200 is a `hidden beast` number, since 1 + 2 + 330 + 0 + 112 + 1 + 220 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24680890 + ... + 25175510.

It is an arithmetic number, because the mean of its divisors is an integer number (156974474475).

Almost surely, 2^{12330011212200} is an apocalyptic number.

12330011212200 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 12330011212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22604324324400).

12330011212200 is an abundant number, since it is smaller than the sum of its proper divisors (32878637436600).

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

12330011212200 is a wasteful number, since it uses less digits than its factorization.

12330011212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495913 (or 495901 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12330011212200 its reverse (221211003321), we get a palindrome (12551222215521).

It can be divided in two parts, 1233001121 and 2200, that added together give a palindrome (1233003321).

The spelling of 12330011212200 in words is "twelve trillion, three hundred thirty billion, eleven million, two hundred twelve thousand, two hundred".