12333001122 has 144 divisors (see below), whose sum is σ = 29535361128. Its totient is φ = 3717043200.

The previous prime is 12333001117. The next prime is 12333001141. The reversal of 12333001122 is 22110033321.

It can be written as a sum of positive squares in 12 ways, for example, as 4101249681 + 8231751441 = 64041^2 + 90729^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12333001095 and 12333001104.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42092008 + ... + 42092300.

Almost surely, 2^12333001122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12333001122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14767680564).

12333001122 is an abundant number, since it is smaller than the sum of its proper divisors (17202360006).

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

12333001122 is a wasteful number, since it uses less digits than its factorization.

12333001122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12333001122 its reverse (22110033321), we get a palindrome (34443034443).

The spelling of 12333001122 in words is "twelve billion, three hundred thirty-three million, one thousand, one hundred twenty-two".