312000340134320 has 160 divisors (see below), whose sum is σ = 743592618901440. Its totient is φ = 121674484039680.

The previous prime is 312000340134269. The next prime is 312000340134349. The reversal of 312000340134320 is 23431043000213.

It is a self number, because there is not a number n which added to its sum of digits gives 312000340134320.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56965551422 + ... + 56965556898.

It is an arithmetic number, because the mean of its divisors is an integer number (4647453868134).

Almost surely, 2^{312000340134320} 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 312000340134320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371796309450720).

312000340134320 is an abundant number, since it is smaller than the sum of its proper divisors (431592278767120).

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

312000340134320 is a wasteful number, since it uses less digits than its factorization.

312000340134320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14023 (or 14017 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 312000340134320 its reverse (23431043000213), we get a palindrome (335431383134533).

The spelling of 312000340134320 in words is "three hundred twelve trillion, three hundred forty million, one hundred thirty-four thousand, three hundred twenty".