312112342312101 has 24 divisors (see below), whose sum is σ = 453486489805440. Its totient is φ = 206851299216576.

The previous prime is 312112342312091. The next prime is 312112342312139. The reversal of 312112342312101 is 101213243211213.

312112342312101 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 1 + 2 + 342 + 312 + 1 + 0 + 1 = 666.

It is not a de Polignac number, because 312112342312101 - 2¹¹ = 312112342310053 is a prime.

It is a super-2 number, since 2×312112342312101² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312112342392101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122332800 + ... + 124858073.

It is an arithmetic number, because the mean of its divisors is an integer number (18895270408560).

Almost surely, 2^{312112342312101} is an apocalyptic number.

It is an amenable number.

312112342312101 is a deficient number, since it is larger than the sum of its proper divisors (141374147493339).

312112342312101 is a wasteful number, since it uses less digits than its factorization.

312112342312101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247191705 (or 247191702 counting only the distinct ones).

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

Adding to 312112342312101 its reverse (101213243211213), we get a palindrome (413325585523314).

The spelling of 312112342312101 in words is "three hundred twelve trillion, one hundred twelve billion, three hundred forty-two million, three hundred twelve thousand, one hundred one".