Search a number
-
+
12202022121000 = 233534399265013
BaseRepresentation
bin1011000110010000000100…
…1100011010111000101000
31121012111112220100011211020
42301210001030122320220
53044404220130333000
641541310453132440
72366365324503015
oct261440114327050
947174486304736
1012202022121000
113984937421488
121450a0062a120
136a685192ca5a
1430281c47670c
15162608b76ba0
hexb190131ae28

12202022121000 has 128 divisors (see below), whose sum is σ = 38157033657600. Its totient is φ = 3246460204800.

The previous prime is 12202022120987. The next prime is 12202022121041. The reversal of 12202022121000 is 12122020221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3315507 + ... + 5949506.

It is an arithmetic number, because the mean of its divisors is an integer number (298101825450).

Almost surely, 212202022121000 is an apocalyptic number.

12202022121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12202022121000 is an abundant number, since it is smaller than the sum of its proper divisors (25955011536600).

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

12202022121000 is a wasteful number, since it uses less digits than its factorization.

12202022121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9265476 (or 9265462 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12202022121000 its reverse (12122020221), we get a palindrome (12214144141221).

The spelling of 12202022121000 in words is "twelve trillion, two hundred two billion, twenty-two million, one hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 439 500 600 750 878 1000 1317 1500 1756 2195 2634 3000 3512 4390 5268 6585 8780 10536 10975 13170 17560 21950 26340 32925 43900 52680 54875 65850 87800 109750 131700 164625 219500 263400 329250 439000 658500 1317000 9265013 18530026 27795039 37060052 46325065 55590078 74120104 92650130 111180156 138975195 185300260 222360312 231625325 277950390 370600520 463250650 555900780 694875975 926501300 1111801560 1158126625 1389751950 1853002600 2316253250 2779503900 3474379875 4067340707 4632506500 5559007800 6948759750 8134681414 9265013000 12202022121 13897519500 16269362828 20336703535 24404044242 27795039000 32538725656 40673407070 48808088484 61010110605 81346814140 97616176968 101683517675 122020221210 162693628280 203367035350 244040442420 305050553025 406734070700 488080884840 508417588375 610101106050 813468141400 1016835176750 1220202212100 1525252765125 2033670353500 2440404424200 3050505530250 4067340707000 6101011060500 12202022121000