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12412202220 = 223251131202219
BaseRepresentation
bin10111000111101001…
…10010110011101100
31012001000202012111100
423203310302303230
5200410010432340
65411352323100
7616404656325
oct134364626354
935030665440
1012412202220
11529a401270
1224a49a3490
13122a689172
1485a67b44c
154c9a44830
hex2e3d32cec

12412202220 has 144 divisors (see below), whose sum is σ = 42398254080. Its totient is φ = 2911939200.

The previous prime is 12412202213. The next prime is 12412202227. The reversal of 12412202220 is 2220221421.

12412202220 is a `hidden beast` number, since 1 + 241 + 2 + 202 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (12412202213) and next prime (12412202227).

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 = 12412202193 and 12412202202.

It is not an unprimeable number, because it can be changed into a prime (12412202227) 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, 39730 + ... + 162489.

It is an arithmetic number, because the mean of its divisors is an integer number (294432320).

Almost surely, 212412202220 is an apocalyptic number.

12412202220 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 12412202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21199127040).

12412202220 is an abundant number, since it is smaller than the sum of its proper divisors (29986051860).

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

12412202220 is a wasteful number, since it uses less digits than its factorization.

12412202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202276 (or 202271 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12412202220 its reverse (2220221421), we get a palindrome (14632423641).

The spelling of 12412202220 in words is "twelve billion, four hundred twelve million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 31 33 36 44 45 55 60 62 66 90 93 99 110 124 132 155 165 180 186 198 220 279 310 330 341 372 396 465 495 558 620 660 682 930 990 1023 1116 1364 1395 1705 1860 1980 2046 2790 3069 3410 4092 5115 5580 6138 6820 10230 12276 15345 20460 30690 61380 202219 404438 606657 808876 1011095 1213314 1819971 2022190 2224409 2426628 3033285 3639942 4044380 4448818 6066570 6268789 6673227 7279884 8897636 9099855 11122045 12133140 12537578 13346454 18199710 18806367 20019681 22244090 25075156 26692908 31343945 33366135 36399420 37612734 40039362 44488180 56419101 62687890 66732270 68956679 75225468 80078724 94031835 100098405 112838202 125375780 133464540 137913358 188063670 200196810 206870037 225676404 275826716 282095505 344783395 376127340 400393620 413740074 564191010 620610111 689566790 827480148 1034350185 1128382020 1241220222 1379133580 2068700370 2482440444 3103050555 4137400740 6206101110 12412202220