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12022212101101 = 292523716426637
BaseRepresentation
bin1010111011110010001110…
…1011101000001111101101
31120120022102122001202021121
42232330203223220033231
53033432442244213401
641322532240300541
72350401423525526
oct256744353501755
946508378052247
1012022212101101
113915656349154
121421b9a611751
136928c7474b87
142d7c419b184d
1515cad2e98ca1
hexaef23ae83ed

12022212101101 has 8 divisors (see below), whose sum is σ = 12437264695320. Its totient is φ = 11607192410688.

The previous prime is 12022212101089. The next prime is 12022212101131. The reversal of 12022212101101 is 10110121222021.

It can be written as a sum of positive squares in 4 ways, for example, as 3044068815076 + 8978143286025 = 1744726^2 + 2996355^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12022212101101 - 213 = 12022212092909 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12022212101131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7481446 + ... + 8945191.

It is an arithmetic number, because the mean of its divisors is an integer number (1554658086915).

Almost surely, 212022212101101 is an apocalyptic number.

It is an amenable number.

12022212101101 is a deficient number, since it is larger than the sum of its proper divisors (415052594219).

12022212101101 is a wasteful number, since it uses less digits than its factorization.

12022212101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16451903.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12022212101101 its reverse (10110121222021), we get a palindrome (22132333323122).

The spelling of 12022212101101 in words is "twelve trillion, twenty-two billion, two hundred twelve million, one hundred one thousand, one hundred one".

Divisors: 1 29 25237 731873 16426637 476372473 414559037969 12022212101101