12447279486720 has 1440 divisors, whose sum is σ = 51120992305152. Its totient is φ = 2868038959104.

The previous prime is 12447279486689. The next prime is 12447279486731. The reversal of 12447279486720 is 2768497274421.

12447279486720 is a `hidden beast` number, since 1 + 2 + 4 + 472 + 7 + 94 + 8 + 6 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×12447279486720³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1457010769 + ... + 1457019311.

Almost surely, 2^{12447279486720} is an apocalyptic number.

12447279486720 is a gapful number since it is divisible by the number (10) 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 12447279486720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25560496152576).

12447279486720 is an abundant number, since it is smaller than the sum of its proper divisors (38673712818432).

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

12447279486720 is a wasteful number, since it uses less digits than its factorization.

12447279486720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8659 (or 8636 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 63.

The spelling of 12447279486720 in words is "twelve trillion, four hundred forty-seven billion, two hundred seventy-nine million, four hundred eighty-six thousand, seven hundred twenty".