312220200 has 96 divisors (see below), whose sum is σ = 971143200. Its totient is φ = 82978560.

The previous prime is 312220159. The next prime is 312220211. The reversal of 312220200 is 2022213.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226714 + ... + 228086.

It is an arithmetic number, because the mean of its divisors is an integer number (10116075).

Almost surely, 2^312220200 is an apocalyptic number.

312220200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485571600).

312220200 is an abundant number, since it is smaller than the sum of its proper divisors (658923000).

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

312220200 is a wasteful number, since it uses less digits than its factorization.

312220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 312220200 is about 17669.7538183190. The cubic root of 312220200 is about 678.4018119259.

Adding to 312220200 its reverse (2022213), we get a palindrome (314242413).

The spelling of 312220200 in words is "three hundred twelve million, two hundred twenty thousand, two hundred".