312041301300 has 216 divisors, whose sum is σ = 1021247136000. Its totient is φ = 79542777600.

The previous prime is 312041301287. The next prime is 312041301331. The reversal of 312041301300 is 3103140213.

312041301300 is a `hidden beast` number, since 3 + 1 + 20 + 41 + 301 + 300 = 666.

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

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41375530 + ... + 41383070.

It is an arithmetic number, because the mean of its divisors is an integer number (4727996000).

Almost surely, 2^312041301300 is an apocalyptic number.

312041301300 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 312041301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510623568000).

312041301300 is an abundant number, since it is smaller than the sum of its proper divisors (709205834700).

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

312041301300 is a wasteful number, since it uses less digits than its factorization.

312041301300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9583 (or 9573 counting only the distinct ones).

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

Adding to 312041301300 its reverse (3103140213), we get a palindrome (315144441513).

The spelling of 312041301300 in words is "three hundred twelve billion, forty-one million, three hundred one thousand, three hundred".