12428458560000 has 3200 divisors, whose sum is σ = 55347043276800. Its totient is φ = 2727696384000.

The previous prime is 12428458559963. The next prime is 12428458560019. The reversal of 12428458560000 is 6585482421.

12428458560000 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 8 + 4 + 585 + 60 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 210651839971 + ... + 210651840029.

It is an arithmetic number, because the mean of its divisors is an integer number (17295951024).

Almost surely, 2^{12428458560000} is an apocalyptic number.

12428458560000 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 12428458560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27673521638400).

12428458560000 is an abundant number, since it is smaller than the sum of its proper divisors (42918584716800).

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

12428458560000 is an frugal number, since it uses more digits than its factorization.

12428458560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 12428458560000 in words is "twelve trillion, four hundred twenty-eight billion, four hundred fifty-eight million, five hundred sixty thousand".