12133222320000 has 640 divisors, whose sum is σ = 42769412532000. Its totient is φ = 3036119040000.

The previous prime is 12133222319993. The next prime is 12133222320013. The reversal of 12133222320000 is 2322233121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 1423915740 + ... + 1423924260.

Almost surely, 2^{12133222320000} is an apocalyptic number.

12133222320000 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 12133222320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21384706266000).

12133222320000 is an abundant number, since it is smaller than the sum of its proper divisors (30636190212000).

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

12133222320000 is an equidigital number, since it uses as much as digits as its factorization.

12133222320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8924 (or 8897 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 12133222320000 its reverse (2322233121), we get a palindrome (12135544553121).

The spelling of 12133222320000 in words is "twelve trillion, one hundred thirty-three billion, two hundred twenty-two million, three hundred twenty thousand".