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12022211201213 = 17259370150669
BaseRepresentation
bin1010111011110010001110…
…1000001100100010111101
31120120022102120101000212102
42232330203220030202331
53033432442031414323
641322532205114445
72350401413060123
oct256744350144275
946508376330772
1012022211201213
113915655894044
121421b9a258a25
136928c721b3b5
142d7c41819913
1515cad2d6c328
hexaef23a0c8bd

12022211201213 has 12 divisors (see below), whose sum is σ = 12792535879860. Its totient is φ = 11295941164032.

The previous prime is 12022211201177. The next prime is 12022211201233. The reversal of 12022211201213 is 31210211222021.

It can be written as a sum of positive squares in 6 ways, for example, as 60387164644 + 11961824036569 = 245738^2 + 3458587^2 .

It is a de Polignac number, because none of the positive numbers 2k-12022211201213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12022211201233) 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 11 ways as a sum of consecutive naturals, for example, 34903958 + ... + 35246711.

It is an arithmetic number, because the mean of its divisors is an integer number (1066044656655).

Almost surely, 212022211201213 is an apocalyptic number.

It is an amenable number.

12022211201213 is a deficient number, since it is larger than the sum of its proper divisors (770324678647).

12022211201213 is an equidigital number, since it uses as much as digits as its factorization.

12022211201213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70151296 (or 70151279 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 12022211201213 its reverse (31210211222021), we get a palindrome (43232422423234).

The spelling of 12022211201213 in words is "twelve trillion, twenty-two billion, two hundred eleven million, two hundred one thousand, two hundred thirteen".

Divisors: 1 17 289 593 10081 171377 70150669 1192561373 20273543341 41599346717 707188894189 12022211201213