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12102021122220 = 22325293543765423
BaseRepresentation
bin1011000000011011100010…
…1010111000100010101100
31120211221102122211002111200
42300012320222320202230
53041234414401402340
641423331452445500
72356225236154431
oct260067052704254
946757378732450
1012102021122220
113946490473a47
121435552479890
1369a2a5b60823
142dba53235b88
1515ec047e1330
hexb01b8ab88ac

12102021122220 has 144 divisors (see below), whose sum is σ = 37976959762560. Its totient is φ = 3115787125248.

The previous prime is 12102021122201. The next prime is 12102021122251. The reversal of 12102021122220 is 2222112020121.

It is a happy number.

12102021122220 is a `hidden beast` number, since 1 + 210 + 2 + 0 + 211 + 22 + 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 = 12102021122193 and 12102021122202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184948429 + ... + 185013851.

It is an arithmetic number, because the mean of its divisors is an integer number (263728887240).

Almost surely, 212102021122220 is an apocalyptic number.

12102021122220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102021122220 is an abundant number, since it is smaller than the sum of its proper divisors (25874938640340).

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

12102021122220 is a wasteful number, since it uses less digits than its factorization.

12102021122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100904 (or 100899 counting only the distinct ones).

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

Adding to 12102021122220 its reverse (2222112020121), we get a palindrome (14324133142341).

The spelling of 12102021122220 in words is "twelve trillion, one hundred two billion, twenty-one million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 35437 65423 70874 106311 130846 141748 177185 196269 212622 261692 318933 327115 354370 392538 425244 531555 588807 637866 654230 708740 785076 981345 1027673 1063110 1177614 1275732 1308460 1594665 1897267 1962690 2055346 2126220 2355228 2944035 3083019 3189330 3794534 3925380 4110692 5138365 5691801 5888070 6166038 6378660 7589068 9249057 9486335 10276730 11383602 11776140 12332076 15415095 17075403 18498114 18972670 20553460 22767204 28459005 30830190 34150806 36996228 37945340 46245285 56918010 61660380 68301612 85377015 92490570 113836020 170754030 184981140 341508060 2318394851 4636789702 6955184553 9273579404 11591974255 13910369106 20865553659 23183948510 27820738212 34775922765 41731107318 46367897020 67233450679 69551845530 83462214636 104327768295 134466901358 139103691060 201700352037 208655536590 268933802716 336167253395 403400704074 417311073180 605101056111 672334506790 806801408148 1008501760185 1210202112222 1344669013580 2017003520370 2420404224444 3025505280555 4034007040740 6051010561110 12102021122220