12331221320000 has 840 divisors, whose sum is σ = 36092009241288. Its totient is φ = 4160471040000.

The previous prime is 12331221319997. The next prime is 12331221320003. The reversal of 12331221320000 is 2312213321.

It is an interprime number because it is at equal distance from previous prime (12331221319997) and next prime (12331221320003).

It can be written as a sum of positive squares in 20 ways, for example, as 11263702548736 + 1067518771264 = 3356144^2 + 1033208^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12331221320003) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6006438974 + ... + 6006441026.

Almost surely, 2^{12331221320000} is an apocalyptic number.

12331221320000 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 12331221320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18046004620644).

12331221320000 is an abundant number, since it is smaller than the sum of its proper divisors (23760787921288).

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

12331221320000 is a wasteful number, since it uses less digits than its factorization.

12331221320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2197 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12331221320000 its reverse (2312213321), we get a palindrome (12333533533321).

The spelling of 12331221320000 in words is "twelve trillion, three hundred thirty-one billion, two hundred twenty-one million, three hundred twenty thousand".