312141304320430 has 128 divisors (see below), whose sum is σ = 642002857687296. Its totient is φ = 108388208332800.

The previous prime is 312141304320367. The next prime is 312141304320431. The reversal of 312141304320430 is 34023403141213.

It is a junction number, because it is equal to n+sod(n) for n = 312141304320392 and 312141304320401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312141304320431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 433181040 + ... + 433901020.

It is an arithmetic number, because the mean of its divisors is an integer number (5015647325682).

Almost surely, 2^{312141304320430} is an apocalyptic number.

312141304320430 is an abundant number, since it is smaller than the sum of its proper divisors (329861553366866).

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

312141304320430 is a wasteful number, since it uses less digits than its factorization.

312141304320430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722462.

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 312141304320430 its reverse (34023403141213), we get a palindrome (346164707461643).

The spelling of 312141304320430 in words is "three hundred twelve trillion, one hundred forty-one billion, three hundred four million, three hundred twenty thousand, four hundred thirty".