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121102020122000 = 2453473448337361
BaseRepresentation
bin11011100010010001000010…
…111001000001010110010000
3120212210020111000001122002112
4123202101002321001112100
5111333113414122401000
61105321300000404452
734336221644521211
oct3342210271012620
9525706430048075
10121102020122000
1135650095265815
12116ba471616728
135275b438a60b8
1421c952494d408
15e0021c641235
hex6e2442e41590

121102020122000 has 160 divisors (see below), whose sum is σ = 299071674330624. Its totient is φ = 47407508736000.

The previous prime is 121102020121987. The next prime is 121102020122021. The reversal of 121102020122000 is 221020201121.

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, 3241383320 + ... + 3241420680.

Almost surely, 2121102020122000 is an apocalyptic number.

121102020122000 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 121102020122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149535837165312).

121102020122000 is an abundant number, since it is smaller than the sum of its proper divisors (177969654208624).

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

121102020122000 is a wasteful number, since it uses less digits than its factorization.

121102020122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71914 (or 71898 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 121102020122000 its reverse (221020201121), we get a palindrome (121323040323121).

The spelling of 121102020122000 in words is "one hundred twenty-one trillion, one hundred two billion, twenty million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 47 50 80 94 100 125 188 200 235 250 376 400 470 500 752 940 1000 1175 1880 2000 2350 3760 4700 5875 9400 11750 18800 23500 34483 37361 47000 68966 74722 94000 137932 149444 172415 186805 275864 298888 344830 373610 551728 597776 689660 747220 862075 934025 1379320 1494440 1620701 1724150 1755967 1868050 2758640 2988880 3241402 3448300 3511934 3736100 4310375 4670125 6482804 6896600 7023868 7472200 8103505 8620750 8779835 9340250 12965608 13793200 14047736 14944400 16207010 17241500 17559670 18680500 25931216 28095472 32414020 34483000 35119340 37361000 40517525 43899175 64828040 68966000 70238680 74722000 81035050 87798350 129656080 140477360 162070100 175596700 202587625 219495875 324140200 351193400 405175250 438991750 648280400 702386800 810350500 877983500 1288319363 1620701000 1755967000 2576638726 3241402000 3511934000 5153277452 6441596815 10306554904 12883193630 20613109808 25766387260 32207984075 51532774520 60551010061 64415968150 103065549040 121102020122 128831936300 161039920375 242204040244 257663872600 302755050305 322079840750 484408080488 515327745200 605510100610 644159681500 968816160976 1211020201220 1288319363000 1513775251525 2422040402440 2576638726000 3027550503050 4844080804880 6055101006100 7568876257625 12110202012200 15137752515250 24220404024400 30275505030500 60551010061000 121102020122000