312000200 has 36 divisors (see below), whose sum is σ = 725981715. Its totient is φ = 124700160.

The previous prime is 312000193. The next prime is 312000223. The reversal of 312000200 is 2000213.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 85858756 + 226141444 = 9266^2 + 15038^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=12490.

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

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 249176 + ... + 250424.

Almost surely, 2^312000200 is an apocalyptic number.

It is an amenable number.

312000200 is an abundant number, since it is smaller than the sum of its proper divisors (413981515).

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

312000200 is an equidigital number, since it uses as much as digits as its factorization.

312000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2514 (or 1256 counting only the distinct ones).

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

The square root of 312000200 is about 17663.5273940400. The cubic root of 312000200 is about 678.2424335264.

Adding to 312000200 its reverse (2000213), we get a palindrome (314000413).

The spelling of 312000200 in words is "three hundred twelve million, two hundred", and thus it is an aban number.