12233032121200 has 120 divisors (see below), whose sum is σ = 32084436263760. Its totient is φ = 4445215948800.

The previous prime is 12233032121197. The next prime is 12233032121227. The reversal of 12233032121200 is 212123033221.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 5213002 + ... + 7186198.

It is an arithmetic number, because the mean of its divisors is an integer number (267370302198).

Almost surely, 2^{12233032121200} is an apocalyptic number.

12233032121200 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 12233032121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16042218131880).

12233032121200 is an abundant number, since it is smaller than the sum of its proper divisors (19851404142560).

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

12233032121200 is a wasteful number, since it uses less digits than its factorization.

12233032121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1974635 (or 1974624 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 12233032121200 its reverse (212123033221), we get a palindrome (12445155154421).

The spelling of 12233032121200 in words is "twelve trillion, two hundred thirty-three billion, thirty-two million, one hundred twenty-one thousand, two hundred".