12012001123122 has 320 divisors, whose sum is σ = 36414602155008. Its totient is φ = 2858010480000.

The previous prime is 12012001123097. The next prime is 12012001123127. The reversal of 12012001123122 is 22132110021021.

12012001123122 is a `hidden beast` number, since 1 + 201 + 200 + 11 + 231 + 22 = 666.

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 = 12012001123095 and 12012001123104.

It is not an unprimeable number, because it can be changed into a prime (12012001123127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20960497 + ... + 21525947.

Almost surely, 2^{12012001123122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12012001123122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18207301077504).

12012001123122 is an abundant number, since it is smaller than the sum of its proper divisors (24402601031886).

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

12012001123122 is a wasteful number, since it uses less digits than its factorization.

12012001123122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565627 (or 565618 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12012001123122 its reverse (22132110021021), we get a palindrome (34144111144143).

The spelling of 12012001123122 in words is "twelve trillion, twelve billion, one million, one hundred twenty-three thousand, one hundred twenty-two".