301201113312 has 144 divisors (see below), whose sum is σ = 937234247040. Its totient is φ = 90996998400.

The previous prime is 301201113289. The next prime is 301201113337. The reversal of 301201113312 is 213311102103.

301201113312 is a `hidden beast` number, since 301 + 20 + 1 + 11 + 331 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×301201113312² (a number of 24 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 904989 + ... + 1192227.

It is an arithmetic number, because the mean of its divisors is an integer number (6508571160).

Almost surely, 2^301201113312 is an apocalyptic number.

301201113312 is a gapful number since it is divisible by the number (32) 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 301201113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468617123520).

301201113312 is an abundant number, since it is smaller than the sum of its proper divisors (636033133728).

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

301201113312 is a wasteful number, since it uses less digits than its factorization.

301201113312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287597 (or 287586 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 301201113312 its reverse (213311102103), we get a palindrome (514512215415).

The spelling of 301201113312 in words is "three hundred one billion, two hundred one million, one hundred thirteen thousand, three hundred twelve".