312321000 has 64 divisors (see below), whose sum is σ = 974450880. Its totient is φ = 83284800.

The previous prime is 312320999. The next prime is 312321007. The reversal of 312321000 is 123213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (312321007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49054 + ... + 55053.

It is an arithmetic number, because the mean of its divisors is an integer number (15225795).

Almost surely, 2^312321000 is an apocalyptic number.

312321000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312321000 is an abundant number, since it is smaller than the sum of its proper divisors (662129880).

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

312321000 is a wasteful number, since it uses less digits than its factorization.

312321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104131 (or 104117 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 312321000 is about 17672.6059198976. The cubic root of 312321000 is about 678.4748112011.

Adding to 312321000 its reverse (123213), we get a palindrome (312444213).

The spelling of 312321000 in words is "three hundred twelve million, three hundred twenty-one thousand".