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12121120211220 = 22325436551239053
BaseRepresentation
bin1011000001100010101100…
…0100001000000100010100
31120220202201201010100012100
42300120223010020010110
53042043023233224340
641440211000322100
72360502441556566
oct260305304100424
946822651110170
1012121120211220
1139535a13a9219
1214391a2773330
1369c02a9b3217
142dc945a05336
15160471400830
hexb062b108114

12121120211220 has 144 divisors (see below), whose sum is σ = 37628354155392. Its totient is φ = 3156633849600.

The previous prime is 12121120211203. The next prime is 12121120211357. The reversal of 12121120211220 is 2211202112121.

12121120211220 is a `hidden beast` number, since 1 + 2 + 1 + 211 + 20 + 211 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12121120211193 and 12121120211202.

It is a congruent number.

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, 50585214 + ... + 50824266.

It is an arithmetic number, because the mean of its divisors is an integer number (261308014968).

Almost surely, 212121120211220 is an apocalyptic number.

12121120211220 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 12121120211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18814177077696).

12121120211220 is an abundant number, since it is smaller than the sum of its proper divisors (25507233944172).

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

12121120211220 is a wasteful number, since it uses less digits than its factorization.

12121120211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245662 (or 245657 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12121120211220 its reverse (2211202112121), we get a palindrome (14332322323341).

The spelling of 12121120211220 in words is "twelve trillion, one hundred twenty-one billion, one hundred twenty million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1935 2580 3870 6551 7740 13102 19653 26204 32755 39306 58959 65510 78612 98265 117918 131020 196530 235836 239053 281693 294795 393060 478106 563386 589590 717159 845079 956212 1126772 1179180 1195265 1408465 1434318 1690158 2151477 2390530 2535237 2816930 2868636 3380316 3585795 4225395 4302954 4781060 5070474 5633860 7171590 8450790 8605908 10140948 10279279 10757385 12676185 14343180 16901580 20558558 21514770 25352370 30837837 41117116 43029540 50704740 51396395 61675674 92513511 102792790 123351348 154189185 185027022 205585580 308378370 370054044 462567555 616756740 925135110 1566036203 1850270220 3132072406 4698108609 6264144812 7830181015 9396217218 14094325827 15660362030 18792434436 23490543045 28188651654 31320724060 46981086090 56377303308 67339556729 70471629135 93962172180 134679113458 140943258270 202018670187 269358226916 281886516540 336697783645 404037340374 606056010561 673395567290 808074680748 1010093350935 1212112021122 1346791134580 2020186701870 2424224042244 3030280052805 4040373403740 6060560105610 12121120211220