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12022003311020 = 22531149163798383
BaseRepresentation
bin1010111011110001011100…
…1111001010000110101100
31120120021220002012010010122
42232330113033022012230
53033432030321423040
641322455421224112
72350363310041223
oct256742717120654
946507802163118
1012022003311020
11391555950206a
121421b40702038
13692893130951
142d7c21d81cba
1515cabe9a51b5
hexaef173ca1ac

12022003311020 has 96 divisors (see below), whose sum is σ = 26396491161600. Its totient is φ = 4594081639680.

The previous prime is 12022003310987. The next prime is 12022003311079. The reversal of 12022003311020 is 2011330022021.

It is a super-2 number, since 2×120220033110202 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12022003311020.

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, 14658749 + ... + 15457131.

It is an arithmetic number, because the mean of its divisors is an integer number (274963449600).

Almost surely, 212022003311020 is an apocalyptic number.

12022003311020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12022003311020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13198245580800).

12022003311020 is an abundant number, since it is smaller than the sum of its proper divisors (14374487850580).

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

12022003311020 is a wasteful number, since it uses less digits than its factorization.

12022003311020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798735 (or 798733 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 12022003311020 its reverse (2011330022021), we get a palindrome (14033333333041).

The spelling of 12022003311020 in words is "twelve trillion, twenty-two billion, three million, three hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 124 149 155 163 298 310 326 596 620 652 745 815 1490 1630 2980 3260 4619 5053 9238 10106 18476 20212 23095 24287 25265 46190 48574 50530 92380 97148 101060 121435 242870 485740 752897 798383 1505794 1596766 3011588 3193532 3764485 3991915 7528970 7983830 15057940 15967660 24749873 49499746 98999492 118959067 123749365 130136429 237918134 247498730 260272858 475836268 494997460 520545716 594795335 650682145 1189590670 1301364290 2379181340 2602728580 3687731077 4034229299 7375462154 8068458598 14750924308 16136917196 18438655385 19390327921 20171146495 36877310770 38780655842 40342292990 73754621540 77561311684 80684585980 96951639605 193903279210 387806558420 601100165551 1202200331102 2404400662204 3005500827755 6011001655510 12022003311020