12330102022200 has 576 divisors, whose sum is σ = 44330961074400. Its totient is φ = 3065203814400.

The previous prime is 12330102022181. The next prime is 12330102022219. The reversal of 12330102022200 is 222020103321.

12330102022200 is a `hidden beast` number, since 1 + 233 + 0 + 10 + 202 + 220 + 0 = 666.

12330102022200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12330102022181) and next prime (12330102022219).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 252989034 + ... + 253037766.

Almost surely, 2^{12330102022200} is an apocalyptic number.

12330102022200 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 12330102022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22165480537200).

12330102022200 is an abundant number, since it is smaller than the sum of its proper divisors (32000859052200).

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

12330102022200 is a wasteful number, since it uses less digits than its factorization.

12330102022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48952 (or 48940 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12330102022200 its reverse (222020103321), we get a palindrome (12552122125521).

The spelling of 12330102022200 in words is "twelve trillion, three hundred thirty billion, one hundred two million, twenty-two thousand, two hundred".