312312021100 has 72 divisors (see below), whose sum is σ = 684658054080. Its totient is φ = 123647800320.

The previous prime is 312312021089. The next prime is 312312021157. The reversal of 312312021100 is 1120213213.

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 23 ways as a sum of consecutive naturals, for example, 10634637 + ... + 10663963.

It is an arithmetic number, because the mean of its divisors is an integer number (9509139640).

Almost surely, 2^312312021100 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 312312021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342329027040).

312312021100 is an abundant number, since it is smaller than the sum of its proper divisors (372346032980).

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

312312021100 is a wasteful number, since it uses less digits than its factorization.

312312021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30427 (or 30420 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 312312021100 its reverse (1120213213), we get a palindrome (313432234313).

The spelling of 312312021100 in words is "three hundred twelve billion, three hundred twelve million, twenty-one thousand, one hundred".