312520300 has 72 divisors (see below), whose sum is σ = 710148992. Its totient is φ = 119232000.

The previous prime is 312520289. The next prime is 312520309. The reversal of 312520300 is 3025213.

It is not an unprimeable number, because it can be changed into a prime (312520309) 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, 225610 + ... + 226990.

Almost surely, 2^312520300 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 312520300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355074496).

312520300 is an abundant number, since it is smaller than the sum of its proper divisors (397628692).

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

312520300 is a wasteful number, since it uses less digits than its factorization.

312520300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 312520300 is about 17678.2436910458. The cubic root of 312520300 is about 678.6190978779.

Adding to 312520300 its reverse (3025213), we get a palindrome (315545513).

The spelling of 312520300 in words is "three hundred twelve million, five hundred twenty thousand, three hundred".