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121222200220 = 225111726732833
BaseRepresentation
bin111000011100101100…
…1111111101110011100
3102120220011221211000021
41300321121333232130
53441230340401340
6131404432241524
711520666462232
oct1607131775634
9376804854007
10121222200220
1147456854250
121b5b10a02a4
13b57b482574
145c1d7b4952
153247428e4a
hex1c3967fb9c

121222200220 has 144 divisors (see below), whose sum is σ = 295548428448. Its totient is φ = 41411543040.

The previous prime is 121222200191. The next prime is 121222200247. The reversal of 121222200220 is 22002222121.

121222200220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 121222200194 and 121222200203.

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 47 ways as a sum of consecutive naturals, for example, 42787924 + ... + 42790756.

It is an arithmetic number, because the mean of its divisors is an integer number (2052419642).

Almost surely, 2121222200220 is an apocalyptic number.

121222200220 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 121222200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147774214224).

121222200220 is an abundant number, since it is smaller than the sum of its proper divisors (174326228228).

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

121222200220 is a wasteful number, since it uses less digits than its factorization.

121222200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3560 (or 3541 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 121222200220 its reverse (22002222121), we get a palindrome (143224422341).

The spelling of 121222200220 in words is "one hundred twenty-one billion, two hundred twenty-two million, two hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 289 340 374 578 673 748 935 1156 1346 1445 1870 2692 2833 2890 3179 3365 3740 5666 5780 6358 6730 7403 11332 11441 12716 13460 14165 14806 15895 22882 28330 29612 31163 31790 37015 45764 48161 56660 57205 62326 63580 74030 96322 114410 124652 125851 148060 155815 192644 194497 228820 240805 251702 311630 388994 481610 503404 529771 623260 629255 777988 818737 963220 972485 1059542 1258510 1637474 1906609 1944970 2119084 2139467 2517020 2648855 3274948 3813218 3889940 4093685 4278934 5297710 7626436 8187370 8557868 9006107 9533045 10595420 10697335 16374740 18012214 19066090 20972699 21394670 32412353 36024428 38132180 41945398 42789340 45030535 64824706 83890796 90061070 104863495 129649412 162061765 180122140 209726990 324123530 356535883 419453980 551010001 648247060 713071766 1102020002 1426143532 1782679415 2204040004 2755050005 3565358830 5510100010 6061110011 7130717660 11020200020 12122220022 24244440044 30305550055 60611100110 121222200220