12479440512 has 768 divisors, whose sum is σ = 46024554240. Its totient is φ = 2919628800.

The previous prime is 12479440511. The next prime is 12479440613. The reversal of 12479440512 is 21504497421.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12479440511) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 204580962 + ... + 204581022.

It is an arithmetic number, because the mean of its divisors is an integer number (59927805).

Almost surely, 2^12479440512 is an apocalyptic number.

12479440512 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 12479440512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23012277120).

12479440512 is an abundant number, since it is smaller than the sum of its proper divisors (33545113728).

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

12479440512 is a wasteful number, since it uses less digits than its factorization.

12479440512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 12479440512 in words is "twelve billion, four hundred seventy-nine million, four hundred forty thousand, five hundred twelve".