12301313002000 has 160 divisors (see below), whose sum is σ = 32516397388800. Its totient is φ = 4463862272000.

The previous prime is 12301313001959. The next prime is 12301313002007. The reversal of 12301313002000 is 20031310321.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (12301313002007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9954336 + ... + 11121664.

It is an arithmetic number, because the mean of its divisors is an integer number (203227483680).

Almost surely, 2^{12301313002000} is an apocalyptic number.

12301313002000 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 12301313002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16258198694400).

12301313002000 is an abundant number, since it is smaller than the sum of its proper divisors (20215084386800).

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

12301313002000 is a wasteful number, since it uses less digits than its factorization.

12301313002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167842 (or 1167826 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 12301313002000 its reverse (20031310321), we get a palindrome (12321344312321).

The spelling of 12301313002000 in words is "twelve trillion, three hundred one billion, three hundred thirteen million, two thousand".