312300003120 has 320 divisors, whose sum is σ = 1124352036864. Its totient is φ = 70233984000.

The previous prime is 312300003107. The next prime is 312300003137. The reversal of 312300003120 is 21300003213.

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 312300003120.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34994979 + ... + 35003901.

Almost surely, 2^312300003120 is an apocalyptic number.

312300003120 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 312300003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562176018432).

312300003120 is an abundant number, since it is smaller than the sum of its proper divisors (812052033744).

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

312300003120 is a wasteful number, since it uses less digits than its factorization.

312300003120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9280 (or 9274 counting only the distinct ones).

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

Adding to 312300003120 its reverse (21300003213), we get a palindrome (333600006333).

The spelling of 312300003120 in words is "three hundred twelve billion, three hundred million, three thousand, one hundred twenty".