312312100 has 36 divisors (see below), whose sum is σ = 717586884. Its totient is φ = 117575680.

The previous prime is 312312097. The next prime is 312312103. The reversal of 312312100 is 1213213.

It is an interprime number because it is at equal distance from previous prime (312312097) and next prime (312312103).

It can be written as a sum of positive squares in 6 ways, for example, as 35688676 + 276623424 = 5974^2 + 16632^2 .

It is not an unprimeable number, because it can be changed into a prime (312312103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90157 + ... + 93556.

It is an arithmetic number, because the mean of its divisors is an integer number (19932969).

Almost surely, 2^312312100 is an apocalyptic number.

It is an amenable number.

312312100 is an abundant number, since it is smaller than the sum of its proper divisors (405274784).

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

312312100 is a wasteful number, since it uses less digits than its factorization.

312312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183744 (or 183737 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 312312100 is about 17672.3541159632. The cubic root of 312312100 is about 678.4683664608.

Adding to 312312100 its reverse (1213213), we get a palindrome (313525313).

The spelling of 312312100 in words is "three hundred twelve million, three hundred twelve thousand, one hundred".