312343323221300 has 144 divisors (see below), whose sum is σ = 775857844919808. Its totient is φ = 106916949734400.

The previous prime is 312343323221213. The next prime is 312343323221317. The reversal of 312343323221300 is 3122323343213.

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, 1220501957 + ... + 1220757843.

It is an arithmetic number, because the mean of its divisors is an integer number (5387901700832).

Almost surely, 2^{312343323221300} 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 312343323221300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387928922459904).

312343323221300 is an abundant number, since it is smaller than the sum of its proper divisors (463514521698508).

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

312343323221300 is a wasteful number, since it uses less digits than its factorization.

312343323221300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258706 (or 258699 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 32.

Adding to 312343323221300 its reverse (3122323343213), we get a palindrome (315465646564513).

The spelling of 312343323221300 in words is "three hundred twelve trillion, three hundred forty-three billion, three hundred twenty-three million, two hundred twenty-one thousand, three hundred".