12331323302144 has 288 divisors, whose sum is σ = 31038834763776. Its totient is φ = 4749625589760.

The previous prime is 12331323302143. The next prime is 12331323302171. The reversal of 12331323302144 is 44120332313321.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 12331323302144.

It is not an unprimeable number, because it can be changed into a prime (12331323302141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2032520999 + ... + 2032527065.

Almost surely, 2^{12331323302144} is an apocalyptic number.

12331323302144 is a gapful number since it is divisible by the number (14) 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 12331323302144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15519417381888).

12331323302144 is an abundant number, since it is smaller than the sum of its proper divisors (18707511461632).

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

12331323302144 is a wasteful number, since it uses less digits than its factorization.

12331323302144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7261 (or 7247 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 12331323302144 its reverse (44120332313321), we get a palindrome (56451655615465).

The spelling of 12331323302144 in words is "twelve trillion, three hundred thirty-one billion, three hundred twenty-three million, three hundred two thousand, one hundred forty-four".