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12020011201020 = 22351132129832721
BaseRepresentation
bin1010111011101010000001…
…1111110111000111111100
31120120002202020200102221210
42232322200133313013330
53033413440331413040
641321530015324420
72350263040300314
oct256724037670774
946502666612853
1012020011201020
113914726a64369
121421685520710
136926364b9934
142d7ab357c444
1515ca04b50480
hexaeea07f71fc

12020011201020 has 96 divisors (see below), whose sum is σ = 33969861414720. Its totient is φ = 3175474462720.

The previous prime is 12020011200979. The next prime is 12020011201031. The reversal of 12020011201020 is 2010211002021.

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 = 12020011200987 and 12020011201005.

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, 14018260 + ... + 14850980.

It is an arithmetic number, because the mean of its divisors is an integer number (353852723070).

Almost surely, 212020011201020 is an apocalyptic number.

12020011201020 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 12020011201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16984930707360).

12020011201020 is an abundant number, since it is smaller than the sum of its proper divisors (21949850213700).

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

12020011201020 is a wasteful number, since it uses less digits than its factorization.

12020011201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834975 (or 834973 counting only the distinct ones).

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

Adding to 12020011201020 its reverse (2010211002021), we get a palindrome (14030222203041).

The spelling of 12020011201020 in words is "twelve trillion, twenty billion, eleven million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 226 339 452 565 678 1130 1356 1695 2129 2260 3390 4258 6387 6780 8516 10645 12774 21290 25548 31935 42580 63870 127740 240577 481154 721731 832721 962308 1202885 1443462 1665442 2405770 2498163 2886924 3330884 3608655 4163605 4811540 4996326 7217310 8327210 9992652 12490815 14434620 16654420 24981630 49963260 94097473 188194946 282292419 376389892 470487365 564584838 940974730 1129169676 1411462095 1772863009 1881949460 2822924190 3545726018 5318589027 5645848380 7091452036 8864315045 10637178054 17728630090 21274356108 26592945135 35457260180 53185890270 106371780540 200333520017 400667040034 601000560051 801334080068 1001667600085 1202001120102 2003335200170 2404002240204 3005002800255 4006670400340 6010005600510 12020011201020