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12110440122 = 23211222924281
BaseRepresentation
bin10110100011101011…
…01010011010111010
31011020222221002201100
423101311222122322
5144300233040442
65321412432230
7606052020414
oct132165523272
934228832640
1012110440122
115155033a00
12241b918676
1311accc2301
1482c5699b4
154ad2d884c
hex2d1d6a6ba

12110440122 has 72 divisors (see below), whose sum is σ = 28968668820. Its totient is φ = 3653654400.

The previous prime is 12110440091. The next prime is 12110440151. The reversal of 12110440122 is 22104401121.

12110440122 is a `hidden beast` number, since 1 + 211 + 0 + 440 + 12 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8802004761 + 3308435361 = 93819^2 + 57519^2 .

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 = 12110440095 and 12110440104.

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 35 ways as a sum of consecutive naturals, for example, 486622 + ... + 510902.

Almost surely, 212110440122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12110440122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14484334410).

12110440122 is an abundant number, since it is smaller than the sum of its proper divisors (16858228698).

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

12110440122 is a wasteful number, since it uses less digits than its factorization.

12110440122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24540 (or 24526 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12110440122 its reverse (22104401121), we get a palindrome (34214841243).

The spelling of 12110440122 in words is "twelve billion, one hundred ten million, four hundred forty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 229 242 363 458 687 726 1089 1374 2061 2178 2519 4122 5038 7557 15114 22671 24281 27709 45342 48562 55418 72843 83127 145686 166254 218529 249381 267091 437058 498762 534182 801273 1602546 2403819 2938001 4807638 5560349 5876002 8814003 11120698 16681047 17628006 26442009 33362094 50043141 52884018 61163839 100086282 122327678 183491517 366983034 550474551 672802229 1100949102 1345604458 2018406687 4036813374 6055220061 12110440122