12312300 has 288 divisors, whose sum is σ = 48996864. Its totient is φ = 2304000.

The previous prime is 12312283. The next prime is 12312331. The reversal of 12312300 is 321321.

It is a happy number.

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 300280 + ... + 300320.

It is an arithmetic number, because the mean of its divisors is an integer number (170128).

Almost surely, 2^12312300 is an apocalyptic number.

12312300 is a gapful number since it is divisible by the number (10) 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 12312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24498432).

12312300 is an abundant number, since it is smaller than the sum of its proper divisors (36684564).

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

12312300 is a wasteful number, since it uses less digits than its factorization.

12312300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 12312300 is about 3508.8887129688. Note that the first 3 decimals coincide. The cubic root of 12312300 is about 230.9119433493.

Adding to 12312300 its reverse (321321), we get a palindrome (12633621).

It can be divided in two parts, 123 and 12300, that multiplied together give a square (1512900 = 1230²).

The spelling of 12312300 in words is "twelve million, three hundred twelve thousand, three hundred".