120001310300009 has 8 divisors (see below), whose sum is σ = 123247455878280. Its totient is φ = 116755315612416.

The previous prime is 120001310299993. The next prime is 120001310300033. The reversal of 120001310300009 is 900003013100021.

It can be written as a sum of positive squares in 4 ways, for example, as 47453981029225 + 72547329270784 = 6888685^2 + 8517472^2 .

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 120001310300009 - 2⁴ = 120001310299993 is a prime.

It is a super-2 number, since 2×120001310300009² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120001310300309) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36109664 + ... + 39292625.

It is an arithmetic number, because the mean of its divisors is an integer number (15405931984785).

Almost surely, 2^{120001310300009} is an apocalyptic number.

It is an amenable number.

120001310300009 is a deficient number, since it is larger than the sum of its proper divisors (3246145578271).

120001310300009 is an equidigital number, since it uses as much as digits as its factorization.

120001310300009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75445339.

The product of its (nonzero) digits is 162, while the sum is 20.

The spelling of 120001310300009 in words is "one hundred twenty trillion, one billion, three hundred ten million, three hundred thousand, nine".