312020000 has 60 divisors (see below), whose sum is σ = 767665206. Its totient is φ = 124800000.

The previous prime is 312019999. The next prime is 312020011. The reversal of 312020000 is 20213.

It can be written as a sum of positive squares in 5 ways, for example, as 43191184 + 268828816 = 6572^2 + 16396^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 312020000.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 12200 + ... + 27800.

Almost surely, 2^312020000 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 312020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383832603).

312020000 is an abundant number, since it is smaller than the sum of its proper divisors (455645206).

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

312020000 is an equidigital number, since it uses as much as digits as its factorization.

312020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15631 (or 15608 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 312020000 is about 17664.0878621003. The cubic root of 312020000 is about 678.2567806498.

Adding to 312020000 its reverse (20213), we get a palindrome (312040213).

The spelling of 312020000 in words is "three hundred twelve million, twenty thousand".