312712012800 has 792 divisors, whose sum is σ = 1262591237600. Its totient is φ = 75788697600.

The previous prime is 312712012747. The next prime is 312712012801. The reversal of 312712012800 is 8210217213.

312712012800 is a `hidden beast` number, since 312 + 71 + 2 + 0 + 1 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (312712012801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 83633331 + ... + 83637069.

Almost surely, 2^312712012800 is an apocalyptic number.

312712012800 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 312712012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631295618800).

312712012800 is an abundant number, since it is smaller than the sum of its proper divisors (949879224800).

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

312712012800 is a wasteful number, since it uses less digits than its factorization.

312712012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3800 (or 3760 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 312712012800 in words is "three hundred twelve billion, seven hundred twelve million, twelve thousand, eight hundred".