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12221133230214 = 2335310133421409
BaseRepresentation
bin1011000111010111010001…
…0011100001000010000110
31121021022212210021010011000
42301311310103201002012
53100212340101331324
641554151110354130
72400643034320416
oct261656423410206
947238783233130
1012221133230214
113991a54116717
12145465495b946
136a85a91006bc
14303712694646
15162d7685c9c9
hexb1d744e1086

12221133230214 has 64 divisors (see below), whose sum is σ = 27673286731200. Its totient is φ = 3996444681216.

The previous prime is 12221133230083. The next prime is 12221133230233. The reversal of 12221133230214 is 41203233112221.

12221133230214 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 11 + 332 + 302 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28789942 + ... + 29211350.

It is an arithmetic number, because the mean of its divisors is an integer number (432395105175).

Almost surely, 212221133230214 is an apocalyptic number.

12221133230214 is an abundant number, since it is smaller than the sum of its proper divisors (15452153500986).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12221133230214 is a wasteful number, since it uses less digits than its factorization.

12221133230214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431606 (or 431600 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 12221133230214 its reverse (41203233112221), we get a palindrome (53424366342435).

The spelling of 12221133230214 in words is "twelve trillion, two hundred twenty-one billion, one hundred thirty-three million, two hundred thirty thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 318 477 954 1431 2862 10133 20266 30399 60798 91197 182394 273591 421409 537049 547182 842818 1074098 1264227 1611147 2528454 3222294 3792681 4833441 7585362 9666882 11378043 14500323 22334677 22756086 29000646 44669354 67004031 134008062 201012093 402024186 603036279 1206072558 4270137397 8540274794 12810412191 25620824382 38431236573 76862473146 115293709719 226317282041 230587419438 452634564082 678951846123 1357903692246 2036855538369 4073711076738 6110566615107 12221133230214