12287544511122 has 96 divisors (see below), whose sum is σ = 28067503978800. Its totient is φ = 3879054606336.

The previous prime is 12287544511097. The next prime is 12287544511147. The reversal of 12287544511122 is 22111544578221.

12287544511122 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 7 + 5 + 4 + 4 + 511 + 122 = 666.

It is an interprime number because it is at equal distance from previous prime (12287544511097) and next prime (12287544511147).

It can be written as a sum of positive squares in 8 ways, for example, as 6437439658521 + 5850104852601 = 2537211^2 + 2418699^2 .

It is a super-2 number, since 2×12287544511122² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 118607698 + ... + 118711250.

Almost surely, 2^{12287544511122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12287544511122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14033751989400).

12287544511122 is an abundant number, since it is smaller than the sum of its proper divisors (15779959467678).

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

12287544511122 is a wasteful number, since it uses less digits than its factorization.

12287544511122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107932 (or 107929 counting only the distinct ones).

The product of its digits is 358400, while the sum is 45.

The spelling of 12287544511122 in words is "twelve trillion, two hundred eighty-seven billion, five hundred forty-four million, five hundred eleven thousand, one hundred twenty-two".