312104343310320 has 320 divisors, whose sum is σ = 1069154589155328. Its totient is φ = 74686136448000.

The previous prime is 312104343310303. The next prime is 312104343310349. The reversal of 312104343310320 is 23013343401213.

It is a super-2 number, since 2×312104343310320² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82721815 + ... + 86412425.

Almost surely, 2^{312104343310320} is an apocalyptic number.

312104343310320 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 312104343310320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534577294577664).

312104343310320 is an abundant number, since it is smaller than the sum of its proper divisors (757050245845008).

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

312104343310320 is a wasteful number, since it uses less digits than its factorization.

312104343310320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3691052 (or 3691046 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 312104343310320 its reverse (23013343401213), we get a palindrome (335117686711533).

The spelling of 312104343310320 in words is "three hundred twelve trillion, one hundred four billion, three hundred forty-three million, three hundred ten thousand, three hundred twenty".