120065133264001 has 2 divisors, whose sum is σ = 120065133264002. Its totient is φ = 120065133264000.

The previous prime is 120065133263981. The next prime is 120065133264023. The reversal of 120065133264001 is 100462331560021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95505665290000 + 24559467974001 = 9772700^2 + 4955751^2 .

It is a cyclic number.

It is not a de Polignac number, because 120065133264001 - 2¹⁷ = 120065133132929 is a prime.

It is not a weakly prime, because it can be changed into another prime (120065133274001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60032566632000 + 60032566632001.

It is an arithmetic number, because the mean of its divisors is an integer number (60032566632001).

Almost surely, 2^{120065133264001} is an apocalyptic number.

It is an amenable number.

120065133264001 is a deficient number, since it is larger than the sum of its proper divisors (1).

120065133264001 is an equidigital number, since it uses as much as digits as its factorization.

120065133264001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 120065133264001 in words is "one hundred twenty trillion, sixty-five billion, one hundred thirty-three million, two hundred sixty-four thousand, one".