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121111212012 = 223729711171901
BaseRepresentation
bin111000011001011001…
…0100110111111101100
3102120121110010000210220
41300302302212333230
53441013432241022
6131345425331340
711515151213400
oct1606262467754
9376543100726
10121111212012
11473aa13815a
121b57ba96b50
13b56149247b
145c0cb63100
15323c80385c
hex1c32ca6fec

121111212012 has 144 divisors (see below), whose sum is σ = 332591601888. Its totient is φ = 34197811200.

The previous prime is 121111211993. The next prime is 121111212029. The reversal of 121111212012 is 210212111121.

It is a happy number.

It is a super-2 number, since 2×1211112120122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121111211982 and 121111212000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63708262 + ... + 63710162.

It is an arithmetic number, because the mean of its divisors is an integer number (2309663902).

Almost surely, 2121111212012 is an apocalyptic number.

121111212012 is a gapful number since it is divisible by the number (12) 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 121111212012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166295800944).

121111212012 is an abundant number, since it is smaller than the sum of its proper divisors (211480389876).

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

121111212012 is a wasteful number, since it uses less digits than its factorization.

121111212012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3136 (or 3127 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 121111212012 its reverse (210212111121), we get a palindrome (331323323133).

The spelling of 121111212012 in words is "one hundred twenty-one billion, one hundred eleven million, two hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 97 98 147 194 196 291 294 388 582 588 679 1117 1164 1358 1901 2037 2234 2716 3351 3802 4074 4468 4753 5703 6702 7604 7819 8148 9506 11406 13307 13404 14259 15638 19012 22812 23457 26614 28518 31276 39921 46914 53228 54733 57036 79842 93149 93828 108349 109466 159684 164199 184397 186298 216698 218932 279447 325047 328398 368794 372596 433396 553191 558894 650094 656796 737588 758443 1106382 1117788 1290779 1300188 1516886 2123417 2212764 2275329 2581558 3033772 3872337 4246834 4550658 5163116 5309101 6370251 7744674 8493668 9035453 9101316 10618202 12740502 14863919 15489348 15927303 18070906 21236404 25481004 27106359 29727838 31854606 36141812 44591757 54212718 59455676 63709212 89183514 104047433 108425436 178367028 205971449 208094866 312142299 411942898 416189732 617914347 624284598 823885796 1235828694 1248569196 1441800143 2471657388 2883600286 4325400429 5767200572 8650800858 10092601001 17301601716 20185202002 30277803003 40370404004 60555606006 121111212012