312412000 has 96 divisors (see below), whose sum is σ = 777669984. Its totient is φ = 123328000.

The previous prime is 312411997. The next prime is 312412019. The reversal of 312412000 is 214213.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 331530 + ... + 332470.

It is an arithmetic number, because the mean of its divisors is an integer number (8100729).

Almost surely, 2^312412000 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 312412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388834992).

312412000 is an abundant number, since it is smaller than the sum of its proper divisors (465257984).

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

312412000 is an equidigital number, since it uses as much as digits as its factorization.

312412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 312412000 is about 17675.1803385425. The cubic root of 312412000 is about 678.5406998352.

Adding to 312412000 its reverse (214213), we get a palindrome (312626213).

The spelling of 312412000 in words is "three hundred twelve million, four hundred twelve thousand".