12428264607360 has 256 divisors, whose sum is σ = 45277651814400. Its totient is φ = 2840541696000.

The previous prime is 12428264607307. The next prime is 12428264607361. The reversal of 12428264607360 is 6370646282421.

It is a super-2 number, since 2×12428264607360² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12428264607361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265430031 + ... + 265476849.

It is an arithmetic number, because the mean of its divisors is an integer number (176865827400).

Almost surely, 2^{12428264607360} is an apocalyptic number.

12428264607360 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 12428264607360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22638825907200).

12428264607360 is an abundant number, since it is smaller than the sum of its proper divisors (32849387207040).

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

12428264607360 is a wasteful number, since it uses less digits than its factorization.

12428264607360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66599 (or 66587 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 51.

The spelling of 12428264607360 in words is "twelve trillion, four hundred twenty-eight billion, two hundred sixty-four million, six hundred seven thousand, three hundred sixty".