312105171642 has 32 divisors (see below), whose sum is σ = 704438009280. Its totient is φ = 91316037120.

The previous prime is 312105171629. The next prime is 312105171667. The reversal of 312105171642 is 246171501213.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81530263 + ... + 81534090.

It is an arithmetic number, because the mean of its divisors is an integer number (22013687790).

Almost surely, 2^312105171642 is an apocalyptic number.

312105171642 is an abundant number, since it is smaller than the sum of its proper divisors (392332837638).

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

312105171642 is a wasteful number, since it uses less digits than its factorization.

312105171642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163064398.

The product of its (nonzero) digits is 10080, while the sum is 33.

Adding to 312105171642 its reverse (246171501213), we get a palindrome (558276672855).

The spelling of 312105171642 in words is "three hundred twelve billion, one hundred five million, one hundred seventy-one thousand, six hundred forty-two".