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12022011000120 = 23351123395981917
BaseRepresentation
bin1010111011110001011110…
…1100011111010100111000
31120120021220121122202121010
42232330113230133110320
53033432034304000440
641322500254113520
72350363432304352
oct256742754372470
946507817582533
1012022011000120
113915562883aa0
121421b431ab8a0
136928948c3704
142d7c22dc40d2
1515cac04c3580
hexaef17b1f538

12022011000120 has 128 divisors (see below), whose sum is σ = 41055405258240. Its totient is φ = 2787712688640.

The previous prime is 12022011000073. The next prime is 12022011000133. The reversal of 12022011000120 is 2100011022021.

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 = 12022011000096 and 12022011000105.

It is a congruent number.

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, 197960599 + ... + 198021318.

It is an arithmetic number, because the mean of its divisors is an integer number (320745353580).

Almost surely, 212022011000120 is an apocalyptic number.

12022011000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12022011000120 is an abundant number, since it is smaller than the sum of its proper divisors (29033394258120).

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

12022011000120 is a wasteful number, since it uses less digits than its factorization.

12022011000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395981965 (or 395981961 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12022011000120 its reverse (2100011022021), we get a palindrome (14122022022141).

The spelling of 12022011000120 in words is "twelve trillion, twenty-two billion, eleven million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 23 24 30 33 40 44 46 55 60 66 69 88 92 110 115 120 132 138 165 184 220 230 253 264 276 330 345 440 460 506 552 660 690 759 920 1012 1265 1320 1380 1518 2024 2530 2760 3036 3795 5060 6072 7590 10120 15180 30360 395981917 791963834 1187945751 1583927668 1979909585 2375891502 3167855336 3959819170 4355801087 4751783004 5939728755 7919638340 8711602174 9107584091 9503566008 11879457510 13067403261 15839276680 17423204348 18215168182 21779005435 23758915020 26134806522 27322752273 34846408696 36430336364 43558010870 45537920455 47517830040 52269613044 54645504546 65337016305 72860672728 87116021740 91075840910 100183425001 104539226088 109291009092 130674032610 136613761365 174232043480 182151681820 200366850002 218582018184 261348065220 273227522730 300550275003 364303363640 400733700004 500917125005 522696130440 546455045460 601100550006 801467400008 1001834250010 1092910090920 1202201100012 1502751375015 2003668500020 2404402200024 3005502750030 4007337000040 6011005500060 12022011000120