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12043112220 = 22325732413803
BaseRepresentation
bin10110011011101001…
…10100111100011100
31011002022020111012100
423031310310330130
5144131014042340
65311005405100
7604303523226
oct131564647434
934068214170
1012043112220
115120028507
122401269790
13119c07ab09
14823641416
154a7439830
hex2cdd34f1c

12043112220 has 144 divisors (see below), whose sum is σ = 37194629472. Its totient is φ = 3153530880.

The previous prime is 12043112189. The next prime is 12043112227. The reversal of 12043112220 is 2221134021.

It is a happy number.

12043112220 is a `hidden beast` number, since 1 + 2 + 0 + 431 + 12 + 220 = 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 = 12043112193 and 12043112202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12043112227) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3164839 + ... + 3168641.

It is an arithmetic number, because the mean of its divisors is an integer number (258296038).

Almost surely, 212043112220 is an apocalyptic number.

12043112220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12043112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18597314736).

12043112220 is an abundant number, since it is smaller than the sum of its proper divisors (25151517252).

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

12043112220 is a wasteful number, since it uses less digits than its factorization.

12043112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4132 (or 4127 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12043112220 its reverse (2221134021), we get a palindrome (14264246241).

It can be divided in two parts, 120431 and 12220, that added together give a cube (132651 = 513).

The spelling of 12043112220 in words is "twelve billion, forty-three million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 241 292 365 438 482 657 723 730 876 964 1095 1205 1314 1446 1460 2169 2190 2410 2628 2892 3285 3615 3803 4338 4380 4820 6570 7230 7606 8676 10845 11409 13140 14460 15212 17593 19015 21690 22818 34227 35186 38030 43380 45636 52779 57045 68454 70372 76060 87965 105558 114090 136908 158337 171135 175930 211116 228180 263895 277619 316674 342270 351860 527790 555238 633348 684540 791685 832857 916523 1055580 1110476 1388095 1583370 1665714 1833046 2498571 2749569 2776190 3166740 3331428 3666092 4164285 4582615 4997142 5499138 5552380 8248707 8328570 9165230 9994284 10998276 12492855 13747845 16497414 16657140 18330460 24985710 27495690 32994828 41243535 49971420 54991380 66906179 82487070 133812358 164974140 200718537 267624716 334530895 401437074 602155611 669061790 802874148 1003592685 1204311222 1338123580 2007185370 2408622444 3010778055 4014370740 6021556110 12043112220