312130100323200 has 384 divisors, whose sum is σ = 1052118347258880. Its totient is φ = 81288877178880.

The previous prime is 312130100323189. The next prime is 312130100323207. The reversal of 312130100323200 is 2323001031213.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312130100323207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3658603744 + ... + 3658689056.

It is an arithmetic number, because the mean of its divisors is an integer number (2739891529320).

Almost surely, 2^{312130100323200} is an apocalyptic number.

312130100323200 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 312130100323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526059173629440).

312130100323200 is an abundant number, since it is smaller than the sum of its proper divisors (739988246935680).

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

312130100323200 is a wasteful number, since it uses less digits than its factorization.

312130100323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94246 (or 94229 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 312130100323200 its reverse (2323001031213), we get a palindrome (314453101354413).

The spelling of 312130100323200 in words is "three hundred twelve trillion, one hundred thirty billion, one hundred million, three hundred twenty-three thousand, two hundred".