312100212300 has 288 divisors, whose sum is σ = 938056627200. Its totient is φ = 80061696000.

The previous prime is 312100212293. The next prime is 312100212311. The reversal of 312100212300 is 3212001213.

312100212300 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 312100212300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 363329271 + ... + 363330129.

Almost surely, 2^312100212300 is an apocalyptic number.

312100212300 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 312100212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469028313600).

312100212300 is an abundant number, since it is smaller than the sum of its proper divisors (625956414900).

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

312100212300 is a wasteful number, since it uses less digits than its factorization.

312100212300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 312100212300 its reverse (3212001213), we get a palindrome (315312213513).

The spelling of 312100212300 in words is "three hundred twelve billion, one hundred million, two hundred twelve thousand, three hundred".