312120555540101 has 16 divisors (see below), whose sum is σ = 399654540758400. Its totient is φ = 236637557023680.

The previous prime is 312120555540049. The next prime is 312120555540107. The reversal of 312120555540101 is 101045555021213.

It is a cyclic number.

It is not a de Polignac number, because 312120555540101 - 2⁶ = 312120555540037 is a prime.

It is a super-2 number, since 2×312120555540101² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312120555540107) 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, 54777209426 + ... + 54777215123.

It is an arithmetic number, because the mean of its divisors is an integer number (24978408797400).

Almost surely, 2^{312120555540101} is an apocalyptic number.

It is an amenable number.

312120555540101 is a deficient number, since it is larger than the sum of its proper divisors (87533985218299).

312120555540101 is a wasteful number, since it uses less digits than its factorization.

312120555540101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109554424604.

The product of its (nonzero) digits is 30000, while the sum is 35.

The spelling of 312120555540101 in words is "three hundred twelve trillion, one hundred twenty billion, five hundred fifty-five million, five hundred forty thousand, one hundred one".