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120021211217 is a prime number
BaseRepresentation
bin110111111000111010…
…0100101100001010001
3102110210111002020211002
41233301310211201101
53431300412224332
6131045331031345
711446144314455
oct1576164454121
9373714066732
10120021211217
114699a932456
121b316a3b555
13b419702b9b
145b480a8665
1531c6c95562
hex1bf1d25851

120021211217 has 2 divisors, whose sum is σ = 120021211218. Its totient is φ = 120021211216.

The previous prime is 120021211201. The next prime is 120021211229. The reversal of 120021211217 is 712112120021.

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., 76070604481 + 43950606736 = 275809^2 + 209644^2 .

It is an emirp because it is prime and its reverse (712112120021) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 120021211217 - 24 = 120021211201 is a prime.

It is a super-3 number, since 3×1200212112173 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (120021211417) 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 as a sum of consecutive naturals, namely, 60010605608 + 60010605609.

It is an arithmetic number, because the mean of its divisors is an integer number (60010605609).

Almost surely, 2120021211217 is an apocalyptic number.

It is an amenable number.

120021211217 is a deficient number, since it is larger than the sum of its proper divisors (1).

120021211217 is an equidigital number, since it uses as much as digits as its factorization.

120021211217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 20.

Adding to 120021211217 its reverse (712112120021), we get a palindrome (832133331238).

The spelling of 120021211217 in words is "one hundred twenty billion, twenty-one million, two hundred eleven thousand, two hundred seventeen".