312132300 has 72 divisors (see below), whose sum is σ = 907566912. Its totient is φ = 82824000.

The previous prime is 312132299. The next prime is 312132341. The reversal of 312132300 is 3231213.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 312132300.

It is an unprimeable number.

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, 60835 + ... + 65765.

It is an arithmetic number, because the mean of its divisors is an integer number (12605096).

Almost surely, 2^312132300 is an apocalyptic number.

312132300 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 312132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453783456).

312132300 is an abundant number, since it is smaller than the sum of its proper divisors (595434612).

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

312132300 is a wasteful number, since it uses less digits than its factorization.

312132300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5159 (or 5152 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 312132300 is about 17667.2663420236. The cubic root of 312132300 is about 678.3381419945.

Adding to 312132300 its reverse (3231213), we get a palindrome (315363513).

The spelling of 312132300 in words is "three hundred twelve million, one hundred thirty-two thousand, three hundred".