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12011020011221 = 7111927729638471
BaseRepresentation
bin1010111011001000100010…
…0101001100011011010101
31120112020112122011200021012
42232302020211030123111
53033242032110324341
641313441511102005
72346524162402060
oct256621045143325
946466478150235
1012011020011221
1139109327403a0
12141b996371905
1369183280279a
142d749d3bb8d7
1515c67a6140eb
hexaec8894c6d5

12011020011221 has 32 divisors (see below), whose sum is σ = 15819830814720. Its totient is φ = 8834635137600.

The previous prime is 12011020011169. The next prime is 12011020011229. The reversal of 12011020011221 is 12211002011021.

It is a cyclic number.

It is not a de Polignac number, because 12011020011221 - 214 = 12011019994837 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12011020011196 and 12011020011205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011020011229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14413985 + ... + 15224486.

It is an arithmetic number, because the mean of its divisors is an integer number (494369712960).

Almost surely, 212011020011221 is an apocalyptic number.

12011020011221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12011020011221 is a deficient number, since it is larger than the sum of its proper divisors (3808810803499).

12011020011221 is a wasteful number, since it uses less digits than its factorization.

12011020011221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29638785.

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

Adding to 12011020011221 its reverse (12211002011021), we get a palindrome (24222022022242).

The spelling of 12011020011221 in words is "twelve trillion, eleven billion, twenty million, eleven thousand, two hundred twenty-one".

Divisors: 1 7 11 19 77 133 209 277 1463 1939 3047 5263 21329 36841 57893 405251 29638471 207469297 326023181 563130949 2282162267 3941916643 6194440439 8209856467 43361083073 57468995269 90308421137 155987272873 632158947959 1091910910111 1715860001603 12011020011221