301311000120000 has 560 divisors, whose sum is σ = 1081283820818432. Its totient is φ = 73584806400000.

The previous prime is 301311000119953. The next prime is 301311000120019. The reversal of 301311000120000 is 21000113103.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 197359575 + ... + 198880425.

Almost surely, 2^{301311000120000} is an apocalyptic number.

301311000120000 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 301311000120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540641910409216).

301311000120000 is an abundant number, since it is smaller than the sum of its proper divisors (779972820698432).

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

301311000120000 is a wasteful number, since it uses less digits than its factorization.

301311000120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521026 (or 1521001 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 301311000120000 its reverse (21000113103), we get a palindrome (301332000233103).

The spelling of 301311000120000 in words is "three hundred one trillion, three hundred eleven billion, one hundred twenty thousand".