12333001320000 has 420 divisors, whose sum is σ = 45367696186956. Its totient is φ = 3199910400000.

The previous prime is 12333001319999. The next prime is 12333001320007. The reversal of 12333001320000 is 2310033321.

12333001320000 is a `hidden beast` number, since 1 + 233 + 300 + 132 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 8004870586944 + 4328130733056 = 2829288^2 + 2080416^2 .

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 (12333001320007) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 12857050 + ... + 13782950.

Almost surely, 2^{12333001320000} is an apocalyptic number.

12333001320000 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 12333001320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22683848093478).

12333001320000 is an abundant number, since it is smaller than the sum of its proper divisors (33034694866956).

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

12333001320000 is an equidigital number, since it uses as much as digits as its factorization.

12333001320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925976 (or 925948 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 12333001320000 its reverse (2310033321), we get a palindrome (12335311353321).

The spelling of 12333001320000 in words is "twelve trillion, three hundred thirty-three billion, one million, three hundred twenty thousand".