12233012120320 has 288 divisors, whose sum is σ = 30395523896640. Its totient is φ = 4714109337600.

The previous prime is 12233012120243. The next prime is 12233012120389. The reversal of 12233012120320 is 2302121033221.

It is a junction number, because it is equal to n+sod(n) for n = 12233012120291 and 12233012120300.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6792343420 + ... + 6792345220.

It is an arithmetic number, because the mean of its divisors is an integer number (105540013530).

Almost surely, 2^{12233012120320} is an apocalyptic number.

12233012120320 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 12233012120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15197761948320).

12233012120320 is an abundant number, since it is smaller than the sum of its proper divisors (18162511776320).

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

12233012120320 is a wasteful number, since it uses less digits than its factorization.

12233012120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3631 (or 3617 counting only the distinct ones).

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

Adding to 12233012120320 its reverse (2302121033221), we get a palindrome (14535133153541).

The spelling of 12233012120320 in words is "twelve trillion, two hundred thirty-three billion, twelve million, one hundred twenty thousand, three hundred twenty".