300313123212000 has 384 divisors, whose sum is σ = 1051254836311680. Its totient is φ = 74681207193600.

The previous prime is 300313123211971. The next prime is 300313123212007. The reversal of 300313123212000 is 212321313003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300313123212007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15483142 + ... + 28988858.

It is an arithmetic number, because the mean of its divisors is an integer number (2737642802895).

Almost surely, 2^{300313123212000} is an apocalyptic number.

300313123212000 is a gapful number since it is divisible by the number (30) 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 300313123212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525627418155840).

300313123212000 is an abundant number, since it is smaller than the sum of its proper divisors (750941713099680).

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

300313123212000 is a wasteful number, since it uses less digits than its factorization.

300313123212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13505871 (or 13505853 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 300313123212000 its reverse (212321313003), we get a palindrome (300525444525003).

The spelling of 300313123212000 in words is "three hundred trillion, three hundred thirteen billion, one hundred twenty-three million, two hundred twelve thousand".