12333200121000 has 1536 divisors, whose sum is σ = 47785943761920. Its totient is φ = 2842656768000.

The previous prime is 12333200120959. The next prime is 12333200121029. The reversal of 12333200121000 is 12100233321.

12333200121000 is a `hidden beast` number, since 1 + 233 + 320 + 0 + 12 + 100 + 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 (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 36597032832 + ... + 36597033168.

It is an arithmetic number, because the mean of its divisors is an integer number (31110640470).

Almost surely, 2^{12333200121000} is an apocalyptic number.

12333200121000 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 12333200121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23892971880960).

12333200121000 is an abundant number, since it is smaller than the sum of its proper divisors (35452743640920).

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

12333200121000 is a wasteful number, since it uses less digits than its factorization.

12333200121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 595 counting only the distinct ones).

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

Adding to 12333200121000 its reverse (12100233321), we get a palindrome (12345300354321).

The spelling of 12333200121000 in words is "twelve trillion, three hundred thirty-three billion, two hundred million, one hundred twenty-one thousand".