312001141242300 has 144 divisors (see below), whose sum is σ = 931962650572800. Its totient is φ = 80506120377600.

The previous prime is 312001141242293. The next prime is 312001141242379. The reversal of 312001141242300 is 3242141100213.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70667121 + ... + 74952279.

It is an arithmetic number, because the mean of its divisors is an integer number (6471962851200).

Almost surely, 2^{312001141242300} is an apocalyptic number.

312001141242300 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 312001141242300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465981325286400).

312001141242300 is an abundant number, since it is smaller than the sum of its proper divisors (619961509330500).

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

312001141242300 is a wasteful number, since it uses less digits than its factorization.

312001141242300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4293036 (or 4293029 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 312001141242300 its reverse (3242141100213), we get a palindrome (315243282342513).

The spelling of 312001141242300 in words is "three hundred twelve trillion, one billion, one hundred forty-one million, two hundred forty-two thousand, three hundred".