12289986247680 has 1760 divisors, whose sum is σ = 48073312235520. Its totient is φ = 2993203445760.

The previous prime is 12289986247673. The next prime is 12289986247697. The reversal of 12289986247680 is 8674268998221.

12289986247680 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 9 + 98 + 62 + 476 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 12289986247599 and 12289986247608.

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, 26316886807 + ... + 26316887273.

It is an arithmetic number, because the mean of its divisors is an integer number (27314381952).

Almost surely, 2^{12289986247680} is an apocalyptic number.

12289986247680 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 12289986247680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24036656117760).

12289986247680 is an abundant number, since it is smaller than the sum of its proper divisors (35783325987840).

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

12289986247680 is a wasteful number, since it uses less digits than its factorization.

12289986247680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 12289986247680 in words is "twelve trillion, two hundred eighty-nine billion, nine hundred eighty-six million, two hundred forty-seven thousand, six hundred eighty".