312000324100 has 18 divisors (see below), whose sum is σ = 677040703514. Its totient is φ = 124800129600.

The previous prime is 312000324007. The next prime is 312000324101. The reversal of 312000324100 is 1423000213.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 7422167104 + 304578156996 = 86152^2 + 551886^2 .

It is not an unprimeable number, because it can be changed into a prime (312000324101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1560001521 + ... + 1560001720.

Almost surely, 2^312000324100 is an apocalyptic number.

It is an amenable number.

312000324100 is an abundant number, since it is smaller than the sum of its proper divisors (365040379414).

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

312000324100 is a wasteful number, since it uses less digits than its factorization.

312000324100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3120003255 (or 3120003248 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 312000324100 its reverse (1423000213), we get a palindrome (313423324313).

The spelling of 312000324100 in words is "three hundred twelve billion, three hundred twenty-four thousand, one hundred".