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12012021122220 = 22325711287844631
BaseRepresentation
bin1010111011001100010001…
…0000001000010010101100
31120112100010101221101101100
42232303010100020102230
53033301104401402340
641314125112243100
72346561036611040
oct256630420102254
946470111841340
1012012021122220
1139112a6852959
1214200156a0490
1369196203b562
142d7556338020
1515c6d8464830
hexaecc44084ac

12012021122220 has 144 divisors (see below), whose sum is σ = 41645411877888. Its totient is φ = 2745358323840.

The previous prime is 12012021122191. The next prime is 12012021122263. The reversal of 12012021122220 is 2222112021021.

It is a happy number.

12012021122220 is a `hidden beast` number, since 120 + 1 + 202 + 1 + 122 + 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 = 12012021122193 and 12012021122202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13799305 + ... + 14643935.

It is an arithmetic number, because the mean of its divisors is an integer number (289204249152).

Almost surely, 212012021122220 is an apocalyptic number.

12012021122220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12012021122220 is an abundant number, since it is smaller than the sum of its proper divisors (29633390755668).

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

12012021122220 is a wasteful number, since it uses less digits than its factorization.

12012021122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855940 (or 855935 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12012021122220 its reverse (2222112021021), we get a palindrome (14234133143241).

The spelling of 12012021122220 in words is "twelve trillion, twelve billion, twenty-one million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 11287 22574 33861 45148 56435 67722 79009 101583 112870 135444 158018 169305 203166 225740 237027 316036 338610 395045 406332 474054 507915 677220 711081 790090 844631 948108 1015830 1185135 1422162 1580180 1689262 2031660 2370270 2533893 2844324 3378524 3555405 4223155 4740540 5067786 5912417 7110810 7601679 8446310 10135572 11824834 12669465 14221620 15203358 16892620 17737251 23649668 25338930 29562085 30406716 35474502 38008395 50677860 53211753 59124170 70949004 76016790 88686255 106423506 118248340 152033580 177372510 212847012 266058765 354745020 532117530 1064235060 9533350097 19066700194 28600050291 38133400388 47666750485 57200100582 66733450679 85800150873 95333500970 114400201164 133466901358 143000251455 171600301746 190667001940 200200352037 266933802716 286000502910 333667253395 343200603492 400400704074 429000754365 572001005820 600601056111 667334506790 800801408148 858001508730 1001001760185 1201202112222 1334669013580 1716003017460 2002003520370 2402404224444 3003005280555 4004007040740 6006010561110 12012021122220