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12230130001122 = 232111373571126257
BaseRepresentation
bin1011000111111000110010…
…0011011110010011100010
31121022012002210021102200100
42301332030203132103202
53100334301240013442
642002235534403230
72401412010522255
oct261761443362342
947265083242610
1012230130001122
113995850601880
121456345960516
136a93b0cbcc97
14303d274a909c
151632015ec84c
hexb1f8c8de4e2

12230130001122 has 96 divisors (see below), whose sum is σ = 29126969112384. Its totient is φ = 3677988787200.

The previous prime is 12230130001109. The next prime is 12230130001181. The reversal of 12230130001122 is 22110003103221.

12230130001122 is a `hidden beast` number, since 12 + 230 + 1 + 300 + 0 + 1 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12230130001095 and 12230130001104.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 96803818 + ... + 96930074.

It is an arithmetic number, because the mean of its divisors is an integer number (303405928254).

Almost surely, 212230130001122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12230130001122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14563484556192).

12230130001122 is an abundant number, since it is smaller than the sum of its proper divisors (16896839111262).

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

12230130001122 is a wasteful number, since it uses less digits than its factorization.

12230130001122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129984 (or 129981 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12230130001122 its reverse (22110003103221), we get a palindrome (34340133104343).

The spelling of 12230130001122 in words is "twelve trillion, two hundred thirty billion, one hundred thirty million, one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 137 198 274 411 822 1233 1507 2466 3014 3571 4521 7142 9042 10713 13563 21426 27126 32139 39281 64278 78562 117843 126257 235686 252514 353529 378771 489227 707058 757542 978454 1136313 1388827 1467681 2272626 2777654 2935362 4166481 4403043 5381497 8332962 8806086 10762994 12499443 16144491 17297209 24998886 32288982 34594418 48433473 51891627 96866946 103783254 155674881 190269299 311349762 380538598 450863747 570807897 901727494 1141615794 1352591241 1712423691 2705182482 3424847382 4057773723 4959501217 8115547446 9919002434 14878503651 29757007302 44635510953 61768333339 89271021906 123536666678 185305000017 370610000034 555915000051 679451666729 1111830000102 1358903333458 2038355000187 4076710000374 6115065000561 12230130001122