12330121003200 has 4032 divisors, whose sum is σ = 61583861713920. Its totient is φ = 2257403904000.

The previous prime is 12330121003117. The next prime is 12330121003219. The reversal of 12330121003200 is 230012103321.

12330121003200 is a `hidden beast` number, since 1 + 2 + 330 + 1 + 2 + 10 + 0 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 32533300611 + ... + 32533300989.

Almost surely, 2^{12330121003200} is an apocalyptic number.

12330121003200 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 12330121003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30791930856960).

12330121003200 is an abundant number, since it is smaller than the sum of its proper divisors (49253740710720).

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

12330121003200 is a wasteful number, since it uses less digits than its factorization.

12330121003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12330121003200 its reverse (230012103321), we get a palindrome (12560133106521).

The spelling of 12330121003200 in words is "twelve trillion, three hundred thirty billion, one hundred twenty-one million, three thousand, two hundred".