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12220112103210 = 23251126118395749
BaseRepresentation
bin1011000111010011011101…
…1100001110011100101010
31121021020020121211111020100
42301310313130032130222
53100203242144300320
641553501512210230
72400605525014644
oct261646734163452
947236217744210
1012220112103210
11399157a782900
12145440a999976
136a84756a713b
14303656c07894
15162d16da6790
hexb1d3770e72a

12220112103210 has 144 divisors (see below), whose sum is σ = 35495776953000. Its totient is φ = 2913886483200.

The previous prime is 12220112103187. The next prime is 12220112103211. The reversal of 12220112103210 is 1230121102221.

12220112103210 is a `hidden beast` number, since 1 + 2 + 220 + 1 + 121 + 0 + 321 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6029465517009 + 6190646586201 = 2455497^2 + 2488101^2 .

It is a super-2 number, since 2×122201121032102 (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12220112103211) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8533585 + ... + 9862164.

Almost surely, 212220112103210 is an apocalyptic number.

12220112103210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12220112103210 is an abundant number, since it is smaller than the sum of its proper divisors (23275664849790).

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

12220112103210 is a wasteful number, since it uses less digits than its factorization.

12220112103210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18395845 (or 18395831 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12220112103210 its reverse (1230121102221), we get a palindrome (13450233205431).

The spelling of 12220112103210 in words is "twelve trillion, two hundred twenty billion, one hundred twelve million, one hundred three thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 61 66 90 99 110 121 122 165 183 198 242 305 330 363 366 495 549 605 610 671 726 915 990 1089 1098 1210 1342 1815 1830 2013 2178 2745 3355 3630 4026 5445 5490 6039 6710 7381 10065 10890 12078 14762 20130 22143 30195 36905 44286 60390 66429 73810 110715 132858 221430 332145 664290 18395749 36791498 55187247 91978745 110374494 165561741 183957490 202353239 275936235 331123482 404706478 551872470 607059717 827808705 1011766195 1122140689 1214119434 1655617410 1821179151 2023532390 2225885629 2244281378 3035298585 3366422067 3642358302 4451771258 5610703445 6070597170 6677656887 6732844134 9105895755 10099266201 11129428145 11221406890 12343547579 13355313774 16832110335 18211791510 20032970661 20198532402 22258856290 24687095158 33388284435 33664220670 37030642737 40065941322 50496331005 61717737895 66776568870 74061285474 100164853305 100992662010 111091928211 123435475790 135779023369 185153213685 200329706610 222183856422 271558046738 370306427370 407337070107 555459641055 678895116845 814674140214 1110919282110 1222011210321 1357790233690 2036685350535 2444022420642 4073370701070 6110056051605 12220112103210