Search a number
-
+
12022320120122 = 2137357371104097
BaseRepresentation
bin1010111011110010101000…
…0111101100000100111010
31120120022201011022200112002
42232330222013230010322
53033433202422320442
641322551055421002
72350404204630014
oct256745207540472
946508634280462
1012022320120122
113915701317474
12142200a824762
13692913965660
142d7c5208d1b4
1515cadc6d4732
hexaef2a1ec13a

12022320120122 has 32 divisors (see below), whose sum is σ = 19690156918992. Its totient is φ = 5471793782784.

The previous prime is 12022320120121. The next prime is 12022320120137. The reversal of 12022320120122 is 22102102322021.

It can be written as a sum of positive squares in 8 ways, for example, as 3362195309641 + 8660124810481 = 1833629^2 + 2942809^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12022320120094 and 12022320120103.

It is not an unprimeable number, because it can be changed into a prime (12022320120121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10336778 + ... + 11440874.

Almost surely, 212022320120122 is an apocalyptic number.

12022320120122 is a deficient number, since it is larger than the sum of its proper divisors (7667836798870).

12022320120122 is a wasteful number, since it uses less digits than its factorization.

12022320120122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109922.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12022320120122 its reverse (22102102322021), we get a palindrome (34124422442143).

The spelling of 12022320120122 in words is "twelve trillion, twenty-two billion, three hundred twenty million, one hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 13 26 73 146 949 1898 5737 11474 74581 149162 418801 837602 1104097 2208194 5444413 10888826 14353261 28706522 80599081 161198162 1047788053 2095576106 6334204489 12668408978 82344658357 164689316714 462396927697 924793855394 6011160060061 12022320120122