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12102110000022 = 2373161307496343
BaseRepresentation
bin1011000000011011110111…
…1101111011001110010110
31120211221122212001112221010
42300012331331323032112
53041240110130000042
641423344345433050
72356230365464410
oct260067575731626
946757585045833
1012102110000022
113946526659179
12143557819b786
1369a2bb3aba43
142dba60d6d9b0
1515ec0c4ea59c
hexb01bdf7b396

12102110000022 has 128 divisors (see below), whose sum is σ = 29116984393728. Its totient is φ = 3280622083200.

The previous prime is 12102109999963. The next prime is 12102110000041. The reversal of 12102110000022 is 22000001120121.

It is a super-2 number, since 2×121021100000222 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12102109999962 and 12102110000007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24134383 + ... + 24630725.

It is an arithmetic number, because the mean of its divisors is an integer number (227476440576).

Almost surely, 212102110000022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12102110000022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14558492196864).

12102110000022 is an abundant number, since it is smaller than the sum of its proper divisors (17014874393706).

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

12102110000022 is a wasteful number, since it uses less digits than its factorization.

12102110000022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496754.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12102110000022 its reverse (22000001120121), we get a palindrome (34102111120143).

The spelling of 12102110000022 in words is "twelve trillion, one hundred two billion, one hundred ten million, twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 7 14 21 31 42 61 62 93 122 183 186 217 307 366 427 434 614 651 854 921 1281 1302 1842 1891 2149 2562 3782 4298 5673 6447 9517 11346 12894 13237 18727 19034 26474 28551 37454 39711 56181 57102 66619 79422 112362 131089 133238 199857 262178 393267 399714 496343 580537 786534 992686 1161074 1489029 1741611 2978058 3474401 3483222 4063759 6948802 8127518 10423203 12191277 15386633 20846406 24382554 30276923 30773266 46159899 60553846 90830769 92319798 107706431 152377301 181661538 211938461 215412862 304754602 323119293 423876922 457131903 635815383 646238586 914263806 938584613 1066641107 1271630766 1877169226 2133282214 2815753839 3199923321 4723696331 5631507678 6399846642 6570092291 9295015361 9447392662 13140184582 14171088993 18590030722 19710276873 27885046083 28342177986 33065874317 39420553746 55770092166 65065107527 66131748634 99197622951 130130215054 195195322581 198395245902 288145476191 390390645162 576290952382 864436428573 1728872857146 2017018333337 4034036666674 6051055000011 12102110000022