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121222101011000 = 23531183639131759
BaseRepresentation
bin11011100100000000111000…
…010001010000101000111000
3120220012201102122102211102212
4123210000320101100220320
5111342100330324323000
61105452355302514252
734351002445321463
oct3344007021205070
9526181378384385
10121222101011000
1135697005848a50
12117197a4435988
13528426c772382
1421d12769102da
15e033e9773c35
hex6e4038450a38

121222101011000 has 128 divisors (see below), whose sum is σ = 309453011712000. Its totient is φ = 44079902416000.

The previous prime is 121222101010981. The next prime is 121222101011003. The reversal of 121222101011000 is 110101222121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121222101011003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 919963121 + ... + 920094879.

It is an arithmetic number, because the mean of its divisors is an integer number (2417601654000).

Almost surely, 2121222101011000 is an apocalyptic number.

121222101011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121222101011000 is an abundant number, since it is smaller than the sum of its proper divisors (188230910701000).

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

121222101011000 is a wasteful number, since it uses less digits than its factorization.

121222101011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215430 (or 215416 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 121222101011000 its reverse (110101222121), we get a palindrome (121332202233121).

The spelling of 121222101011000 in words is "one hundred twenty-one trillion, two hundred twenty-two billion, one hundred one million, eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 83639 131759 167278 263518 334556 418195 527036 658795 669112 836390 920029 1054072 1317590 1449349 1672780 1840058 2090975 2635180 2898698 3293975 3345560 3680116 4181950 4600145 5270360 5797396 6587950 7246745 7360232 8363900 9200290 10454875 11594792 13175900 14493490 16469875 16727800 18400580 20909750 23000725 26351800 28986980 32939750 36233725 36801160 41819500 46001450 57973960 65879500 72467450 83639000 92002900 115003625 131759000 144934900 181168625 184005800 230007250 289869800 362337250 460014500 724674500 920029000 1449349000 11020191001 22040382002 44080764004 55100955005 88161528008 110201910010 121222101011 220403820020 242444202022 275504775025 440807640040 484888404044 551009550050 606110505055 969776808088 1102019100100 1212221010110 1377523875125 2204038200200 2424442020220 2755047750250 3030552525275 4848884040440 5510095500500 6061105050550 11020191001000 12122210101100 15152762626375 24244420202200 30305525252750 60611050505500 121222101011000