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12213020302200 = 23325215674329937
BaseRepresentation
bin1011000110111001000010…
…1111001001101101111000
31121020112221101100200010200
42301232100233021231320
53100044231144132300
641550330054242200
72400235012502154
oct261562057115570
947215841320120
1012213020302200
113989570627833
121452b6b956360
136a78b536b593
14303182dd2064
15162a4e4a7200
hexb1b90bc9b78

12213020302200 has 144 divisors (see below), whose sum is σ = 41041577129280. Its totient is φ = 3254726292480.

The previous prime is 12213020302187. The next prime is 12213020302253. The reversal of 12213020302200 is 220302031221.

12213020302200 is a `hidden beast` number, since 12 + 2 + 130 + 20 + 302 + 200 = 666.

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

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 655632 + ... + 4985568.

Almost surely, 212213020302200 is an apocalyptic number.

12213020302200 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 12213020302200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20520788564640).

12213020302200 is an abundant number, since it is smaller than the sum of its proper divisors (28828556827080).

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

12213020302200 is a wasteful number, since it uses less digits than its factorization.

12213020302200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4331526 (or 4331514 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12213020302200 its reverse (220302031221), we get a palindrome (12433322333421).

The spelling of 12213020302200 in words is "twelve trillion, two hundred thirteen billion, twenty million, three hundred two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1567 1800 3134 4701 6268 7835 9402 12536 14103 15670 18804 23505 28206 31340 37608 39175 47010 56412 62680 70515 78350 94020 112824 117525 141030 156700 188040 235050 282060 313400 352575 470100 564120 705150 940200 1410300 2820600 4329937 8659874 12989811 17319748 21649685 25979622 34639496 38969433 43299370 51959244 64949055 77938866 86598740 103918488 108248425 129898110 155877732 173197480 194847165 216496850 259796220 311755464 324745275 389694330 432993700 519592440 649490550 779388660 865987400 974235825 1298981100 1558777320 1948471650 2597962200 3896943300 6785011279 7793886600 13570022558 20355033837 27140045116 33925056395 40710067674 54280090232 61065101511 67850112790 81420135348 101775169185 122130203022 135700225580 162840270696 169625281975 203550338370 244260406044 271400451160 305325507555 339250563950 407100676740 488520812088 508875845925 610651015110 678501127900 814201353480 1017751691850 1221302030220 1357002255800 1526627537775 2035503383700 2442604060440 3053255075550 4071006767400 6106510151100 12213020302200