12298210560000 has 1440 divisors, whose sum is σ = 48474913687200. Its totient is φ = 3105423360000.

The previous prime is 12298210559989. The next prime is 12298210560007. The reversal of 12298210560000 is 6501289221.

12298210560000 is a `hidden beast` number, since 1 + 2 + 2 + 9 + 82 + 10 + 560 + 0 + 0 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12298210560007) 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 119 ways as a sum of consecutive naturals, for example, 5909758960 + ... + 5909761040.

It is an arithmetic number, because the mean of its divisors is an integer number (33663134505).

Almost surely, 2^{12298210560000} is an apocalyptic number.

12298210560000 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 12298210560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24237456843600).

12298210560000 is an abundant number, since it is smaller than the sum of its proper divisors (36176703127200).

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

12298210560000 is an frugal number, since it uses more digits than its factorization.

12298210560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 12298210560000 in words is "twelve trillion, two hundred ninety-eight billion, two hundred ten million, five hundred sixty thousand".