312012433114101 has 16 divisors (see below), whose sum is σ = 472075548921600. Its totient is φ = 203582580470784.

The previous prime is 312012433114069. The next prime is 312012433114103. The reversal of 312012433114101 is 101411334210213.

312012433114101 is a `hidden beast` number, since 3 + 1 + 2 + 0 + 1 + 243 + 3 + 1 + 1 + 410 + 1 = 666.

It is not a de Polignac number, because 312012433114101 - 2⁵ = 312012433114069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312012433114103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122936339596 + ... + 122936342133.

It is an arithmetic number, because the mean of its divisors is an integer number (29504721807600).

Almost surely, 2^{312012433114101} is an apocalyptic number.

It is an amenable number.

312012433114101 is a deficient number, since it is larger than the sum of its proper divisors (160063115807499).

312012433114101 is a wasteful number, since it uses less digits than its factorization.

312012433114101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245872681785 (or 245872681779 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 312012433114101 its reverse (101411334210213), we get a palindrome (413423767324314).

The spelling of 312012433114101 in words is "three hundred twelve trillion, twelve billion, four hundred thirty-three million, one hundred fourteen thousand, one hundred one".