12032032122 has 72 divisors (see below), whose sum is σ = 29195734932. Its totient is φ = 3577242240.

The previous prime is 12032032039. The next prime is 12032032147. The reversal of 12032032122 is 22123023021.

12032032122 is a `hidden beast` number, since 1 + 2 + 0 + 320 + 321 + 22 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11312236881 + 719795241 = 106359^2 + 26829^2 .

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 = 12032032095 and 12032032104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 63318 + ... + 167550.

Almost surely, 2^12032032122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12032032122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14597867466).

12032032122 is an abundant number, since it is smaller than the sum of its proper divisors (17163702810).

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

12032032122 is a wasteful number, since it uses less digits than its factorization.

12032032122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104316 (or 104302 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12032032122 its reverse (22123023021), we get a palindrome (34155055143).

The spelling of 12032032122 in words is "twelve billion, thirty-two million, thirty-two thousand, one hundred twenty-two".