12301300000000 has 648 divisors, whose sum is σ = 34276904325216. Its totient is φ = 4368000000000.

The previous prime is 12301299999983. The next prime is 12301300000007. The reversal of 12301300000000 is 310321.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12301300000007) 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 71 ways as a sum of consecutive naturals, for example, 58299999895 + ... + 58300000105.

It is an arithmetic number, because the mean of its divisors is an integer number (52896457292).

Almost surely, 2^{12301300000000} is an apocalyptic number.

12301300000000 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 12301300000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17138452162608).

12301300000000 is an abundant number, since it is smaller than the sum of its proper divisors (21975604325216).

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

12301300000000 is an frugal number, since it uses more digits than its factorization.

12301300000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 12301300000000 its reverse (310321), we get a palindrome (12301300310321).

The spelling of 12301300000000 in words is "twelve trillion, three hundred one billion, three hundred million", and thus it is an aban number.