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12012001011120 = 24351110344174761
BaseRepresentation
bin1010111011001100001100…
…0011011010010110110000
31120112100002000002122010210
42232303003003122112300
53033301034224323440
641314123113224120
72346560403640065
oct256630303322660
946470060078123
1012012001011120
113911296467110
12142000aa02040
1369195ab196b6
142d75537c0c6c
1515c6d67e0a80
hexaecc30da5b0

12012001011120 has 160 divisors (see below), whose sum is σ = 41016796614144. Its totient is φ = 2883728332800.

The previous prime is 12012001011119. The next prime is 12012001011133. The reversal of 12012001011120 is 2111010021021.

It is a super-2 number, since 2×120120010111202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12012001011096 and 12012001011105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21815461 + ... + 22359300.

Almost surely, 212012001011120 is an apocalyptic number.

12012001011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12012001011120 is an abundant number, since it is smaller than the sum of its proper divisors (29004795603024).

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

12012001011120 is a wasteful number, since it uses less digits than its factorization.

12012001011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44174891 (or 44174885 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12012001011120 its reverse (2111010021021), we get a palindrome (14123011032141).

Subtracting from 12012001011120 its reverse (2111010021021), we obtain a palindrome (9900990990099).

The spelling of 12012001011120 in words is "twelve trillion, twelve billion, one million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 103 110 120 132 165 176 206 220 240 264 309 330 412 440 515 528 618 660 824 880 1030 1133 1236 1320 1545 1648 2060 2266 2472 2640 3090 3399 4120 4532 4944 5665 6180 6798 8240 9064 11330 12360 13596 16995 18128 22660 24720 27192 33990 45320 54384 67980 90640 135960 271920 44174761 88349522 132524283 176699044 220873805 265048566 353398088 441747610 485922371 530097132 662621415 706796176 883495220 971844742 1060194264 1325242830 1457767113 1766990440 1943689484 2120388528 2429611855 2650485660 2915534226 3533980880 3887378968 4550000383 4859223710 5300971320 5831068452 7288835565 7774757936 9100000766 9718447420 10601942640 11662136904 13650001149 14577671130 18200001532 19436894840 22750001915 23324273808 27300002298 29155342260 36400003064 38873789680 45500003830 50050004213 54600004596 58310684520 68250005745 72800006128 91000007660 100100008426 109200009192 116621369040 136500011490 150150012639 182000015320 200200016852 218400018384 250250021065 273000022980 300300025278 364000030640 400400033704 500500042130 546000045960 600600050556 750750063195 800800067408 1001000084260 1092000091920 1201200101112 1501500126390 2002000168520 2402400202224 3003000252780 4004000337040 6006000505560 12012001011120