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12211021021221 = 341124493277297
BaseRepresentation
bin1011000110110001100110…
…0100100000000000100101
31121020100210001100200020000
42301230121210200000211
53100031132340134341
641545355434531513
72400134325053511
oct261543144400045
947210701320200
1012211021021221
113988735031400
1214526b2296b99
136a76570b6599
14303033683141
15162983bd78b6
hexb1b19920025

12211021021221 has 60 divisors (see below), whose sum is σ = 20054729872716. Its totient is φ = 7398944974080.

The previous prime is 12211021021187. The next prime is 12211021021229. The reversal of 12211021021221 is 12212012011221.

12211021021221 is a `hidden beast` number, since 1 + 2 + 211 + 0 + 210 + 21 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9171267128100 + 3039753893121 = 3028410^2 + 1743489^2 .

It is not a de Polignac number, because 12211021021221 - 27 = 12211021021093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12211021021194 and 12211021021203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211021021229) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 43897245 + ... + 44174541.

Almost surely, 212211021021221 is an apocalyptic number.

12211021021221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12211021021221 is a deficient number, since it is larger than the sum of its proper divisors (7843708851495).

12211021021221 is a wasteful number, since it uses less digits than its factorization.

12211021021221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281824 (or 281804 counting only the distinct ones).

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

Adding to 12211021021221 its reverse (12212012011221), we get a palindrome (24423033032442).

The spelling of 12211021021221 in words is "twelve trillion, two hundred eleven billion, twenty-one million, twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 11 27 33 81 99 121 297 363 891 1089 3267 4493 9801 13479 40437 49423 121311 148269 277297 363933 444807 543653 831891 1334421 1630959 2495673 3050267 4003263 4892877 7487019 9150801 14678631 22461057 27452403 33552937 44035893 82357209 100658811 247071627 301976433 905929299 1245895421 2717787897 3737686263 11213058789 13704849631 33639176367 41114548893 100917529101 123343646679 150753345941 370030940037 452260037823 1110092820111 1356780113469 4070340340407 12211021021221