300201201300312 has 576 divisors, whose sum is σ = 934715855455200. Its totient is φ = 86507384832000.

The previous prime is 300201201300283. The next prime is 300201201300313. The reversal of 300201201300312 is 213003102102003.

300201201300312 is a `hidden beast` number, since 3 + 0 + 0 + 201 + 20 + 130 + 0 + 312 = 666.

It is a super-2 number, since 2×300201201300312² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300201201300313) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 140477865708 + ... + 140477867844.

Almost surely, 2^{300201201300312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300201201300312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467357927727600).

300201201300312 is an abundant number, since it is smaller than the sum of its proper divisors (634514654154888).

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

300201201300312 is a wasteful number, since it uses less digits than its factorization.

300201201300312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4516 (or 4492 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 300201201300312 its reverse (213003102102003), we get a palindrome (513204303402315).

The spelling of 300201201300312 in words is "three hundred trillion, two hundred one billion, two hundred one million, three hundred thousand, three hundred twelve".