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120012223001112 = 233213249120087449
BaseRepresentation
bin11011010010011010000101…
…111010111011001000011000
3120201221001112011111211022100
4123102122011322323020120
5111212240013042013422
61103124504254123400
734164411523034001
oct3322320572731030
9521831464454270
10120012223001112
113526a997198922
121156320a7b0560
1351c714783cc00
14218c8a053a1a8
15dd1bd77757ac
hex6d2685ebb218

120012223001112 has 144 divisors (see below), whose sum is σ = 352675761399000. Its totient is φ = 36851628602880.

The previous prime is 120012223001087. The next prime is 120012223001147. The reversal of 120012223001112 is 211100322210021.

120012223001112 is a `hidden beast` number, since 1 + 200 + 122 + 230 + 0 + 1 + 112 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4069237 + ... + 16018212.

Almost surely, 2120012223001112 is an apocalyptic number.

120012223001112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120012223001112 is an abundant number, since it is smaller than the sum of its proper divisors (232663538397888).

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

120012223001112 is a wasteful number, since it uses less digits than its factorization.

120012223001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20087978 (or 20087958 counting only the distinct ones).

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

Adding to 120012223001112 its reverse (211100322210021), we get a palindrome (331112545211133).

The spelling of 120012223001112 in words is "one hundred twenty trillion, twelve billion, two hundred twenty-three million, one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 491 507 676 936 982 1014 1352 1473 1521 1964 2028 2946 3042 3928 4056 4419 5892 6084 6383 8838 11784 12168 12766 17676 19149 25532 35352 38298 51064 57447 76596 82979 114894 153192 165958 229788 248937 331916 459576 497874 663832 746811 995748 1493622 1991496 2987244 5974488 20087449 40174898 60262347 80349796 120524694 160699592 180787041 241049388 261136837 361574082 482098776 522273674 723148164 783410511 1044547348 1446296328 1566821022 2089094696 2350231533 3133642044 3394778881 4700463066 6267284088 6789557762 9400926132 9862937459 10184336643 13579115524 18801852264 19725874918 20368673286 27158231048 29588812377 30553009929 39451749836 40737346572 59177624754 61106019858 78903499672 81474693144 88766437131 118355249508 122212039716 128218186967 177532874262 236710499016 244424079432 256436373934 355065748524 384654560901 512872747868 710131497048 769309121802 1025745495736 1153963682703 1538618243604 1666836430571 2307927365406 3077236487208 3333672861142 4615854730812 5000509291713 6667345722284 9231709461624 10001018583426 13334691444568 15001527875139 20002037166852 30003055750278 40004074333704 60006111500556 120012223001112