12300110131122 has 128 divisors (see below), whose sum is σ = 31575245195520. Its totient is φ = 3507745029120.

The previous prime is 12300110131117. The next prime is 12300110131223. The reversal of 12300110131122 is 22113101100321.

12300110131122 is a `hidden beast` number, since 1 + 2 + 300 + 110 + 131 + 122 = 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 = 12300110131095 and 12300110131104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 130954408 + ... + 131048300.

It is an arithmetic number, because the mean of its divisors is an integer number (246681603090).

Almost surely, 2^{12300110131122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12300110131122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15787622597760).

12300110131122 is an abundant number, since it is smaller than the sum of its proper divisors (19275135064398).

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

12300110131122 is a wasteful number, since it uses less digits than its factorization.

12300110131122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106905 (or 106899 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12300110131122 its reverse (22113101100321), we get a palindrome (34413211231443).

The spelling of 12300110131122 in words is "twelve trillion, three hundred billion, one hundred ten million, one hundred thirty-one thousand, one hundred twenty-two".