312010011000 has 192 divisors, whose sum is σ = 1083097529280. Its totient is φ = 80953862400.

The previous prime is 312010010957. The next prime is 312010011017. The reversal of 312010011000 is 110010213.

312010011000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135484 + ... + 801483.

It is an arithmetic number, because the mean of its divisors is an integer number (5641132965).

Almost surely, 2^312010011000 is an apocalyptic number.

312010011000 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 312010011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541548764640).

312010011000 is an abundant number, since it is smaller than the sum of its proper divisors (771087518280).

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

312010011000 is a wasteful number, since it uses less digits than its factorization.

312010011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937031 (or 937014 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 312010011000 its reverse (110010213), we get a palindrome (312120021213).

The spelling of 312010011000 in words is "three hundred twelve billion, ten million, eleven thousand".