312300240000 has 320 divisors, whose sum is σ = 1184695026240. Its totient is φ = 71382528000.

The previous prime is 312300239987. The next prime is 312300240037. The reversal of 312300240000 is 42003213.

It is a tau number, because it is divible by the number of its divisors (320).

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

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 39 ways as a sum of consecutive naturals, for example, 1587054 + ... + 1772946.

It is an arithmetic number, because the mean of its divisors is an integer number (3702171957).

Almost surely, 2^312300240000 is an apocalyptic number.

312300240000 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 312300240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592347513120).

312300240000 is an abundant number, since it is smaller than the sum of its proper divisors (872394786240).

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

312300240000 is an equidigital number, since it uses as much as digits as its factorization.

312300240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185937 (or 185910 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 312300240000 its reverse (42003213), we get a palindrome (312342243213).

The spelling of 312300240000 in words is "three hundred twelve billion, three hundred million, two hundred forty thousand".