12446198139312 has 320 divisors, whose sum is σ = 41630329932800. Its totient is φ = 3530463812352.

The previous prime is 12446198139301. The next prime is 12446198139313. The reversal of 12446198139312 is 21393189164421.

12446198139312 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 6 + 198 + 139 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 (12446198139313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33864438 + ... + 34229994.

It is an arithmetic number, because the mean of its divisors is an integer number (130094781040).

Almost surely, 2^{12446198139312} is an apocalyptic number.

12446198139312 is a gapful number since it is divisible by the number (12) 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 12446198139312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20815164966400).

12446198139312 is an abundant number, since it is smaller than the sum of its proper divisors (29184131793488).

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

12446198139312 is an equidigital number, since it uses as much as digits as its factorization.

12446198139312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365732 (or 365708 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The spelling of 12446198139312 in words is "twelve trillion, four hundred forty-six billion, one hundred ninety-eight million, one hundred thirty-nine thousand, three hundred twelve".