120301020120321 has 12 divisors (see below), whose sum is σ = 183989795478372. Its totient is φ = 75482993016576.

The previous prime is 120301020120301. The next prime is 120301020120329. The reversal of 120301020120321 is 123021020103021.

120301020120321 is a `hidden beast` number, since 1 + 2 + 0 + 301 + 0 + 20 + 1 + 20 + 321 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34329181710321 + 85971838410000 = 5859111^2 + 9272100^2 .

It is not a de Polignac number, because 120301020120321 - 2⁵ = 120301020120289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120301020120294 and 120301020120303.

It is not an unprimeable number, because it can be changed into a prime (120301020120329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 393140588476 + ... + 393140588781.

It is an arithmetic number, because the mean of its divisors is an integer number (15332482956531).

Almost surely, 2^{120301020120321} is an apocalyptic number.

It is an amenable number.

120301020120321 is a deficient number, since it is larger than the sum of its proper divisors (63688775358051).

120301020120321 is a wasteful number, since it uses less digits than its factorization.

120301020120321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786281177280 (or 786281177277 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 120301020120321 its reverse (123021020103021), we get a palindrome (243322040223342).

The spelling of 120301020120321 in words is "one hundred twenty trillion, three hundred one billion, twenty million, one hundred twenty thousand, three hundred twenty-one".