312200000 has 168 divisors, whose sum is σ = 888943104. Its totient is φ = 106560000.

The previous prime is 312199981. The next prime is 312200003. The reversal of 312200000 is 2213.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312200003) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1399889 + ... + 1400111.

It is an arithmetic number, because the mean of its divisors is an integer number (5291328).

Almost surely, 2^312200000 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 312200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444471552).

312200000 is an abundant number, since it is smaller than the sum of its proper divisors (576743104).

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

312200000 is an frugal number, since it uses more digits than its factorization.

312200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 237 counting only the distinct ones).

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

The square root of 312200000 is about 17669.1822108438. The cubic root of 312200000 is about 678.3871812132.

Adding to 312200000 its reverse (2213), we get a palindrome (312202213).

The spelling of 312200000 in words is "three hundred twelve million, two hundred thousand".