12006198336 has 112 divisors (see below), whose sum is σ = 35072287488. Its totient is φ = 3594355200.

The previous prime is 12006198319. The next prime is 12006198403. The reversal of 12006198336 is 63389160021.

It is a junction number, because it is equal to n+sod(n) for n = 12006198294 and 12006198303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141051 + ... + 209541.

It is an arithmetic number, because the mean of its divisors is an integer number (313145424).

Almost surely, 2^12006198336 is an apocalyptic number.

12006198336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12006198336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17536143744).

12006198336 is an abundant number, since it is smaller than the sum of its proper divisors (23066089152).

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

12006198336 is a wasteful number, since it uses less digits than its factorization.

12006198336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68600 (or 68590 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 12006198336 in words is "twelve billion, six million, one hundred ninety-eight thousand, three hundred thirty-six".