12333122120 has 128 divisors (see below), whose sum is σ = 30753146880. Its totient is φ = 4414080000.

The previous prime is 12333122111. The next prime is 12333122147. The reversal of 12333122120 is 2122133321.

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

It is a junction number, because it is equal to n+sod(n) for n = 12333122092 and 12333122101.

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, 8487314 + ... + 8488766.

It is an arithmetic number, because the mean of its divisors is an integer number (240258960).

Almost surely, 2^12333122120 is an apocalyptic number.

12333122120 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 12333122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15376573440).

12333122120 is an abundant number, since it is smaller than the sum of its proper divisors (18420024760).

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

12333122120 is a wasteful number, since it uses less digits than its factorization.

12333122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767 (or 1763 counting only the distinct ones).

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

Adding to 12333122120 its reverse (2122133321), we get a palindrome (14455255441).

The spelling of 12333122120 in words is "twelve billion, three hundred thirty-three million, one hundred twenty-two thousand, one hundred twenty".