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12021220101001 = 29103239072941
BaseRepresentation
bin1010111011101110100010…
…0011011100101110001001
31120120012212111102220222011
42232323220203130232021
53033423424321213001
641322250002255521
72350335016624126
oct256735043345611
946505774386864
1012021220101001
113915197399861
1214219623575a1
13692799aa9077
142d7b89d4774d
1515ca75d47d51
hexaeee88dcb89

12021220101001 has 12 divisors (see below), whose sum is σ = 12557652829380. Its totient is φ = 11494008613920.

The previous prime is 12021220100987. The next prime is 12021220101017. The reversal of 12021220101001 is 10010102212021.

It can be written as a sum of positive squares in 2 ways, for example, as 9475038204025 + 2546181896976 = 3078155^2 + 1595676^2 .

It is not a de Polignac number, because 12021220101001 - 29 = 12021220100489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12021220101071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19228810 + ... + 19844131.

It is an arithmetic number, because the mean of its divisors is an integer number (1046471069115).

Almost surely, 212021220101001 is an apocalyptic number.

It is an amenable number.

12021220101001 is a deficient number, since it is larger than the sum of its proper divisors (536432728379).

12021220101001 is an equidigital number, since it uses as much as digits as its factorization.

12021220101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39073176 (or 39073073 counting only the distinct ones).

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

Adding to 12021220101001 its reverse (10010102212021), we get a palindrome (22031322313022).

The spelling of 12021220101001 in words is "twelve trillion, twenty-one billion, two hundred twenty million, one hundred one thousand, one".

Divisors: 1 29 103 2987 10609 307661 39072941 1133115289 4024512923 116710874767 414524831069 12021220101001