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12022011200100 = 22352113643033697
BaseRepresentation
bin1010111011110001011110…
…1101010000001001100100
31120120021220122000220220210
42232330113231100021210
53033432034331400400
641322500302255420
72350363434066366
oct256742755201144
946507818026823
1012022011200100
113915562a00270
121421b43287570
13692894963745
142d7c23036d36
1515cac0512950
hexaef17b50264

12022011200100 has 72 divisors (see below), whose sum is σ = 37945838998368. Its totient is φ = 2914426956800.

The previous prime is 12022011200083. The next prime is 12022011200107. The reversal of 12022011200100 is 100211022021.

12022011200100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (12022011200107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1821513549 + ... + 1821520148.

It is an arithmetic number, because the mean of its divisors is an integer number (527025541644).

Almost surely, 212022011200100 is an apocalyptic number.

12022011200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12022011200100 is an abundant number, since it is smaller than the sum of its proper divisors (25923827798268).

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

12022011200100 is a wasteful number, since it uses less digits than its factorization.

12022011200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3643033725 (or 3643033718 counting only the distinct ones).

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

Adding to 12022011200100 its reverse (100211022021), we get a palindrome (12122222222121).

The spelling of 12022011200100 in words is "twelve trillion, twenty-two billion, eleven million, two hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 3643033697 7286067394 10929101091 14572134788 18215168485 21858202182 36430336970 40073370667 43716404364 54645505455 72860673940 80146741334 91075842425 109291010910 120220112001 160293482668 182151684850 200366853335 218582021820 240440224002 273227527275 364303369700 400733706670 480880448004 546455054550 601100560005 801467413340 1001834266675 1092910109100 1202201120010 2003668533350 2404402240020 3005502800025 4007337066700 6011005600050 12022011200100