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12022100101201 = 115115919656129
BaseRepresentation
bin1010111011110001110100…
…0000011000100001010001
31120120022010211022120022011
42232330131000120201101
53033432230111214301
641322513155542521
72350365563534311
oct256743500304121
946508124276264
1012022100101201
1139155a9100a53
121421b68bbaa41
136928aa1bc448
142d7c30b79441
1515cac8223a51
hexaef1d018851

12022100101201 has 8 divisors (see below), whose sum is σ = 12033319219200. Its totient is φ = 12010882329600.

The previous prime is 12022100101189. The next prime is 12022100101213. The reversal of 12022100101201 is 10210100122021.

It is an interprime number because it is at equal distance from previous prime (12022100101189) and next prime (12022100101213).

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12022100101201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12022103101201) 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 in 7 ways as a sum of consecutive naturals, for example, 17994705 + ... + 18650833.

It is an arithmetic number, because the mean of its divisors is an integer number (1504164902400).

Almost surely, 212022100101201 is an apocalyptic number.

It is an amenable number.

12022100101201 is a deficient number, since it is larger than the sum of its proper divisors (11219117999).

12022100101201 is a wasteful number, since it uses less digits than its factorization.

12022100101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673199.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12022100101201 its reverse (10210100122021), we get a palindrome (22232200223222).

The spelling of 12022100101201 in words is "twelve trillion, twenty-two billion, one hundred million, one hundred one thousand, two hundred one".

Divisors: 1 1151 15919 656129 18322769 755204479 10444917551 12022100101201