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12021122110001 = 29537821159473
BaseRepresentation
bin1010111011101110001010…
…1101101001001000110001
31120120012121200001110120212
42232323202231221020301
53033423224230010001
641322232142113505
72350332420000104
oct256734255511061
946505550043525
1012021122110001
11391514704a764
12142193557b895
136927826b9b24
142d7b7ad1a73b
1515ca6c43d7bb
hexaeee2b69231

12021122110001 has 8 divisors (see below), whose sum is σ = 12670278347880. Its totient is φ = 11387608191232.

The previous prime is 12021122109991. The next prime is 12021122110027. The reversal of 12021122110001 is 10001122112021.

It can be written as a sum of positive squares in 4 ways, for example, as 1523684109376 + 10497438000625 = 1234376^2 + 3239975^2 .

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 12021122110001 - 230 = 12020048368177 is a prime.

It is a super-3 number, since 3×120211221100013 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12021122118001) 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 7 ways as a sum of consecutive naturals, for example, 3910578200 + ... + 3910581273.

It is an arithmetic number, because the mean of its divisors is an integer number (1583784793485).

Almost surely, 212021122110001 is an apocalyptic number.

It is an amenable number.

12021122110001 is a deficient number, since it is larger than the sum of its proper divisors (649156237879).

12021122110001 is an equidigital number, since it uses as much as digits as its factorization.

12021122110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7821159555.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12021122110001 its reverse (10001122112021), we get a palindrome (22022244222022).

The spelling of 12021122110001 in words is "twelve trillion, twenty-one billion, one hundred twenty-two million, one hundred ten thousand, one".

Divisors: 1 29 53 1537 7821159473 226813624717 414521452069 12021122110001