312312323010000 has 100 divisors (see below), whose sum is σ = 1008185820416192. Its totient is φ = 83283286128000.

The previous prime is 312312323009963. The next prime is 312312323010011. The reversal of 312312323010000 is 10323213213.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5205175384 + ... + 5205235383.

Almost surely, 2^{312312323010000} is an apocalyptic number.

312312323010000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312312323010000 is an abundant number, since it is smaller than the sum of its proper divisors (695873497406192).

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

312312323010000 is a wasteful number, since it uses less digits than its factorization.

312312323010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10410410798 (or 10410410777 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 312312323010000 its reverse (10323213213), we get a palindrome (312322646223213).

The spelling of 312312323010000 in words is "three hundred twelve trillion, three hundred twelve billion, three hundred twenty-three million, ten thousand".