312412341204101 has 8 divisors (see below), whose sum is σ = 314410259272824. Its totient is φ = 310414524788160.

The previous prime is 312412341204037. The next prime is 312412341204109. The reversal of 312412341204101 is 101402143214213.

It can be written as a sum of positive squares in 4 ways, for example, as 9522001179076 + 302890340025025 = 3085774^2 + 17403745^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 312412341204101 - 2⁶ = 312412341204037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312412341204109) 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 7 ways as a sum of consecutive naturals, for example, 19242110 + ... + 31544943.

It is an arithmetic number, because the mean of its divisors is an integer number (39301282409103).

Almost surely, 2^{312412341204101} is an apocalyptic number.

It is an amenable number.

312412341204101 is a deficient number, since it is larger than the sum of its proper divisors (1997918068723).

312412341204101 is a wasteful number, since it uses less digits than its factorization.

312412341204101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50826391.

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 312412341204101 its reverse (101402143214213), we get a palindrome (413814484418314).

The spelling of 312412341204101 in words is "three hundred twelve trillion, four hundred twelve billion, three hundred forty-one million, two hundred four thousand, one hundred one".