12182551344 has 120 divisors (see below), whose sum is σ = 34379085312. Its totient is φ = 4027086720.

The previous prime is 12182551313. The next prime is 12182551363. The reversal of 12182551344 is 44315528121.

12182551344 is a `hidden beast` number, since 1 + 21 + 82 + 5 + 513 + 44 = 666.

12182551344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12182551299 and 12182551308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10262719 + ... + 10263905.

Almost surely, 2^12182551344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12182551344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17189542656).

12182551344 is an abundant number, since it is smaller than the sum of its proper divisors (22196533968).

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

12182551344 is a wasteful number, since it uses less digits than its factorization.

12182551344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1726 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The spelling of 12182551344 in words is "twelve billion, one hundred eighty-two million, five hundred fifty-one thousand, three hundred forty-four".