12116829384 has 192 divisors, whose sum is σ = 37859028480. Its totient is φ = 3466368000.

The previous prime is 12116829383. The next prime is 12116829391. The reversal of 12116829384 is 48392861121.

12116829384 is a `hidden beast` number, since 121 + 168 + 293 + 84 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12116829383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1000614 + ... + 1012650.

It is an arithmetic number, because the mean of its divisors is an integer number (197182440).

Almost surely, 2^12116829384 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 12116829384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18929514240).

12116829384 is an abundant number, since it is smaller than the sum of its proper divisors (25742199096).

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

12116829384 is a wasteful number, since it uses less digits than its factorization.

12116829384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12132 (or 12125 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The spelling of 12116829384 in words is "twelve billion, one hundred sixteen million, eight hundred twenty-nine thousand, three hundred eighty-four".