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12221133203213 = 1122321033184829
BaseRepresentation
bin1011000111010111010001…
…0011011010011100001101
31121021022212210012202002222
42301311310103122130031
53100212340100000323
641554151110025125
72400643034145614
oct261656423323415
947238783182088
1012221133203213
113991a540a8400
1214546549481a5
136a85a90c131c
1430371268887b
15162d768549c8
hexb1d744da70d

12221133203213 has 36 divisors (see below), whose sum is σ = 14056259766780. Its totient is φ = 10616727327360.

The previous prime is 12221133203189. The next prime is 12221133203221. The reversal of 12221133203213 is 31230233112221.

It can be written as a sum of positive squares in 2 ways, for example, as 11689848197764 + 531285005449 = 3419042^2 + 728893^2 .

It is not a de Polignac number, because 12221133203213 - 212 = 12221133199117 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221133203233) 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 35 ways as a sum of consecutive naturals, for example, 66028883 + ... + 66213711.

Almost surely, 212221133203213 is an apocalyptic number.

It is an amenable number.

12221133203213 is a deficient number, since it is larger than the sum of its proper divisors (1835126563567).

12221133203213 is a wasteful number, since it uses less digits than its factorization.

12221133203213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185930 (or 185896 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 12221133203213 its reverse (31230233112221), we get a palindrome (43451366315434).

The spelling of 12221133203213 in words is "twelve trillion, two hundred twenty-one billion, one hundred thirty-three million, two hundred three thousand, two hundred thirteen".

Divisors: 1 11 23 121 253 529 1033 2783 5819 11363 23759 64009 124993 184829 261349 546457 2033119 2874839 4251067 6011027 22364309 46761737 66121297 97774541 190928357 514379107 1075519951 2100211927 4391352211 11830719461 23102331197 48304874321 101001100853 531353617531 1111012109383 12221133203213