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122120222201 is a prime number
BaseRepresentation
bin111000110111011101…
…1101011010111111001
3102200012202202001120122
41301232323223113321
54000100234102301
6132033512103025
711552152522145
oct1615673532771
9380182661518
10122120222201
114787775547a
121b801994a75
13b692535813
145ca6b78225
15329b1b481b
hex1c6eeeb5f9

122120222201 has 2 divisors, whose sum is σ = 122120222202. Its totient is φ = 122120222200.

The previous prime is 122120222197. The next prime is 122120222207. The reversal of 122120222201 is 102222021221.

Adding to 122120222201 its reverse (102222021221), we get a palindrome (224342243422).

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121379076025 + 741146176 = 348395^2 + 27224^2 .

It is an emirp because it is prime and its reverse (102222021221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122120222201 - 22 = 122120222197 is a prime.

It is a super-2 number, since 2×1221202222012 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122120222201.

It is not a weakly prime, because it can be changed into another prime (122120222207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61060111100 + 61060111101.

It is an arithmetic number, because the mean of its divisors is an integer number (61060111101).

Almost surely, 2122120222201 is an apocalyptic number.

It is an amenable number.

122120222201 is a deficient number, since it is larger than the sum of its proper divisors (1).

122120222201 is an equidigital number, since it uses as much as digits as its factorization.

122120222201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 17.

The spelling of 122120222201 in words is "one hundred twenty-two billion, one hundred twenty million, two hundred twenty-two thousand, two hundred one".