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12011102122221 = 322946019548361
BaseRepresentation
bin1010111011001000110101…
…1110011011000011101101
31120112020202100200100101100
42232302031132123003231
53033242214120402341
641313454003033313
72346526210336536
oct256621536330355
946466670610340
1012011102122221
113910975023624
12141b9b996b839
13691846821987
142d74aa27368d
1515c6829333b6
hexaec8d79b0ed

12011102122221 has 12 divisors (see below), whose sum is σ = 17947623861180. Its totient is φ = 7731284124480.

The previous prime is 12011102122213. The next prime is 12011102122367. The reversal of 12011102122221 is 12222120111021.

12011102122221 is a `hidden beast` number, since 120 + 1 + 110 + 212 + 2 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5258972630025 + 6752129492196 = 2293245^2 + 2598486^2 .

It is not a de Polignac number, because 12011102122221 - 23 = 12011102122213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12011102122194 and 12011102122203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011102122421) 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, 23009773920 + ... + 23009774441.

It is an arithmetic number, because the mean of its divisors is an integer number (1495635321765).

Almost surely, 212011102122221 is an apocalyptic number.

It is an amenable number.

12011102122221 is a deficient number, since it is larger than the sum of its proper divisors (5936521738959).

12011102122221 is a wasteful number, since it uses less digits than its factorization.

12011102122221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46019548396 (or 46019548393 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12011102122221 its reverse (12222120111021), we get a palindrome (24233222233242).

The spelling of 12011102122221 in words is "twelve trillion, eleven billion, one hundred two million, one hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 29 87 261 46019548361 138058645083 414175935249 1334566902469 4003700707407 12011102122221