312039000000 has 1568 divisors, whose sum is σ = 1422381793280. Its totient is φ = 65318400000.

The previous prime is 312038999999. The next prime is 312039000001. The reversal of 312039000000 is 930213.

It is an interprime number because it is at equal distance from previous prime (312038999999) and next prime (312039000001).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 312039000000 = 720³ + 6780³ = 1650³ + 6750³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312039000001) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2456999937 + ... + 2457000063.

Almost surely, 2^312039000000 is an apocalyptic number.

312039000000 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 312039000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711190896640).

312039000000 is an abundant number, since it is smaller than the sum of its proper divisors (1110342793280).

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

312039000000 is an equidigital number, since it uses as much as digits as its factorization.

312039000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 312039000000 its reverse (930213), we get a palindrome (312039930213).

The spelling of 312039000000 in words is "three hundred twelve billion, thirty-nine million", and thus it is an aban number.