312145352040141 has 12 divisors (see below), whose sum is σ = 450880152602880. Its totient is φ = 208095270749640.

The previous prime is 312145352040127. The next prime is 312145352040157. The reversal of 312145352040141 is 141040253541213.

312145352040141 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 4 + 53 + 520 + 40 + 1 + 41 = 666.

It is not a de Polignac number, because 312145352040141 - 2¹⁹ = 312145351515853 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312145352040096 and 312145352040105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312145352040241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134671255 + ... + 136969476.

It is an arithmetic number, because the mean of its divisors is an integer number (37573346050240).

Almost surely, 2^{312145352040141} is an apocalyptic number.

It is an amenable number.

312145352040141 is a deficient number, since it is larger than the sum of its proper divisors (138734800562739).

312145352040141 is a wasteful number, since it uses less digits than its factorization.

312145352040141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271768416 (or 271768413 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 312145352040141 in words is "three hundred twelve trillion, one hundred forty-five billion, three hundred fifty-two million, forty thousand, one hundred forty-one".