312051579930 has 192 divisors, whose sum is σ = 864360525600. Its totient is φ = 77837303808.

The previous prime is 312051579929. The next prime is 312051579989. The reversal of 312051579930 is 39975150213.

312051579930 is a `hidden beast` number, since 3 + 1 + 20 + 51 + 579 + 9 + 3 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 39100712121 + 272950867809 = 197739^2 + 522447^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 201452796 + ... + 201454344.

Almost surely, 2^312051579930 is an apocalyptic number.

312051579930 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 312051579930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432180262800).

312051579930 is an abundant number, since it is smaller than the sum of its proper divisors (552308945670).

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

312051579930 is a wasteful number, since it uses less digits than its factorization.

312051579930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The spelling of 312051579930 in words is "three hundred twelve billion, fifty-one million, five hundred seventy-nine thousand, nine hundred thirty".