120304214334001 has 2 divisors, whose sum is σ = 120304214334002. Its totient is φ = 120304214334000.

The previous prime is 120304214333987. The next prime is 120304214334013. The reversal of 120304214334001 is 100433412403021.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 119390041230625 + 914173103376 = 10926575^2 + 956124^2 .

It is a cyclic number.

It is not a de Polignac number, because 120304214334001 - 2²⁵ = 120304180779569 is a prime.

It is not a weakly prime, because it can be changed into another prime (120304214334061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60152107167000 + 60152107167001.

It is an arithmetic number, because the mean of its divisors is an integer number (60152107167001).

Almost surely, 2^{120304214334001} is an apocalyptic number.

It is an amenable number.

120304214334001 is a deficient number, since it is larger than the sum of its proper divisors (1).

120304214334001 is an equidigital number, since it uses as much as digits as its factorization.

120304214334001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 120304214334001 its reverse (100433412403021), we get a palindrome (220737626737022).

The spelling of 120304214334001 in words is "one hundred twenty trillion, three hundred four billion, two hundred fourteen million, three hundred thirty-four thousand, one".