312130000000 has 640 divisors, whose sum is σ = 976518007920. Its totient is φ = 98784000000.

The previous prime is 312129999991. The next prime is 312130000027. The reversal of 312130000000 is 31213.

It can be written as a sum of positive squares in 8 ways, for example, as 309411837504 + 2718162496 = 556248^2 + 52136^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24009999994 + ... + 24010000006.

Almost surely, 2^312130000000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312130000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488259003960).

312130000000 is an abundant number, since it is smaller than the sum of its proper divisors (664388007920).

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

312130000000 is an frugal number, since it uses more digits than its factorization.

312130000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 312130000000 its reverse (31213), we get a palindrome (312130031213).

312130000000 divided by its reverse (31213) gives a 7-th power (10000000 = 10⁷).

The spelling of 312130000000 in words is "three hundred twelve billion, one hundred thirty million", and thus it is an aban number.