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12102100222000 = 245316768353051
BaseRepresentation
bin1011000000011011110101…
…1000101000000000110000
31120211221122011122210000011
42300012331120220000300
53041240100124101000
641423343400104304
72356230216411145
oct260067530500060
946757564583004
1012102100222000
11394652108a868
121435574a65094
1369a2b9367229
142dba5d9463cc
1515ec0b7182ba
hexb01bd628030

12102100222000 has 160 divisors (see below), whose sum is σ = 29481762046464. Its totient is φ = 4804717280000.

The previous prime is 12102100221929. The next prime is 12102100222031. The reversal of 12102100222000 is 22200120121.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228095475 + ... + 228148525.

Almost surely, 212102100222000 is an apocalyptic number.

12102100222000 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 12102100222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14740881023232).

12102100222000 is an abundant number, since it is smaller than the sum of its proper divisors (17379661824464).

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

12102100222000 is a wasteful number, since it uses less digits than its factorization.

12102100222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53924 (or 53908 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12102100222000 its reverse (22200120121), we get a palindrome (12124300342121).

The spelling of 12102100222000 in words is "twelve trillion, one hundred two billion, one hundred million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 167 200 250 334 400 500 668 683 835 1000 1336 1366 1670 2000 2672 2732 3340 3415 4175 5464 6680 6830 8350 10928 13360 13660 16700 17075 20875 27320 33400 34150 41750 53051 54640 66800 68300 83500 85375 106102 114061 136600 167000 170750 212204 228122 265255 273200 334000 341500 424408 456244 530510 570305 683000 848816 912488 1061020 1140610 1326275 1366000 1824976 2122040 2281220 2652550 2851525 4244080 4562440 5305100 5703050 6631375 8859517 9124880 10610200 11406100 13262750 14257625 17719034 21220400 22812200 26525500 28515250 35438068 36233833 44297585 45624400 53051000 57030500 70876136 72467666 88595170 106102000 114061000 141752272 144935332 177190340 181169165 221487925 228122000 289870664 354380680 362338330 442975850 579741328 708761360 724676660 885951700 905845825 1107439625 1449353320 1771903400 1811691650 2214879250 2898706640 3543806800 3623383300 4429758500 4529229125 6051050111 7246766600 8859517000 9058458250 12102100222 14493533200 17719034000 18116916500 24204200444 30255250555 36233833000 48408400888 60510501110 72467666000 96816801776 121021002220 151276252775 242042004440 302552505550 484084008880 605105011100 756381263875 1210210022200 1512762527750 2420420044400 3025525055500 6051050111000 12102100222000