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121220222202200 = 235211212739441733
BaseRepresentation
bin11011100011111111001000…
…010010001011000101011000
3120220012112120201010110021202
4123203333020102023011120
5111342033003340432300
61105451445025253332
734350605052602012
oct3343771022130530
9526175521113252
10121220222202200
1135696231257100
121171935b194248
13528403044b1a4
1421d11391a11b2
15e0333984ead5
hex6e3fc848b158

121220222202200 has 144 divisors (see below), whose sum is σ = 312227077021440. Its totient is φ = 43732992441600.

The previous prime is 121220222202181. The next prime is 121220222202203. The reversal of 121220222202200 is 2202222022121.

121220222202200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121220222202203) by changing a digit.

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, 16647467 + ... + 22794266.

Almost surely, 2121220222202200 is an apocalyptic number.

121220222202200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121220222202200 is an abundant number, since it is smaller than the sum of its proper divisors (191006854819240).

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

121220222202200 is a wasteful number, since it uses less digits than its factorization.

121220222202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39441898 (or 39441878 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 121220222202200 its reverse (2202222022121), we get a palindrome (123422444224321).

The spelling of 121220222202200 in words is "one hundred twenty-one trillion, two hundred twenty billion, two hundred twenty-two million, two hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 127 200 220 242 254 275 440 484 508 550 605 635 968 1016 1100 1210 1270 1397 2200 2420 2540 2794 3025 3175 4840 5080 5588 6050 6350 6985 11176 12100 12700 13970 15367 24200 25400 27940 30734 34925 55880 61468 69850 76835 122936 139700 153670 279400 307340 384175 614680 768350 1536700 3073400 39441733 78883466 157766932 197208665 315533864 394417330 433859063 788834660 867718126 986043325 1577669320 1735436252 1972086650 2169295315 3470872504 3944173300 4338590630 4772449693 5009100091 7888346600 8677181260 9544899386 10018200182 10846476575 17354362520 19089798772 20036400364 21692953150 23862248465 25045500455 38179597544 40072800728 43385906300 47724496930 50091000910 55100101001 86771812600 95448993860 100182001820 110200202002 119311242325 125227502275 190897987720 200364003640 220400404004 238622484650 250455004550 275500505005 440800808008 477244969300 500910009100 551001010010 606101111011 954489938600 1001820018200 1102002020020 1212202222022 1377502525025 2204004040040 2424404444044 2755005050050 3030505555055 4848808888088 5510010100100 6061011110110 11020020200200 12122022220220 15152527775275 24244044440440 30305055550550 60610111101100 121220222202200