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12122202000 = 243533076581
BaseRepresentation
bin10110100101000101…
…00001111110010000
31011021211001122222110
423102202201332100
5144311240431000
65322512505320
7606254005536
oct132242417620
934254048873
1012122202000
115160737867
12242384b240
1311b257cabc
1482dd4c156
154ae35d850
hex2d28a1f90

12122202000 has 160 divisors (see below), whose sum is σ = 39215240064. Its totient is φ = 3221568000.

The previous prime is 12122201999. The next prime is 12122202007. The reversal of 12122202000 is 20222121.

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 (12122202007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1838710 + ... + 1845290.

Almost surely, 212122202000 is an apocalyptic number.

12122202000 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 12122202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19607620032).

12122202000 is an abundant number, since it is smaller than the sum of its proper divisors (27093038064).

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

12122202000 is a wasteful number, since it uses less digits than its factorization.

12122202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6914 (or 6898 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12122202000 its reverse (20222121), we get a palindrome (12142424121).

The spelling of 12122202000 in words is "twelve billion, one hundred twenty-two million, two hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 307 375 400 500 600 614 750 921 1000 1200 1228 1500 1535 1842 2000 2456 3000 3070 3684 4605 4912 6000 6140 6581 7368 7675 9210 12280 13162 14736 15350 18420 19743 23025 24560 26324 30700 32905 36840 38375 39486 46050 52648 61400 65810 73680 76750 78972 92100 98715 105296 115125 122800 131620 153500 157944 164525 184200 197430 230250 263240 307000 315888 329050 368400 394860 460500 493575 526480 614000 658100 789720 822625 921000 987150 1316200 1579440 1645250 1842000 1974300 2020367 2467875 2632400 3290500 3948600 4040734 4935750 6061101 6581000 7897200 8081468 9871500 10101835 12122202 13162000 16162936 19743000 20203670 24244404 30305505 32325872 39486000 40407340 48488808 50509175 60611010 80814680 96977616 101018350 121222020 151527525 161629360 202036700 242444040 252545875 303055050 404073400 484888080 505091750 606110100 757637625 808146800 1010183500 1212220200 1515275250 2020367000 2424440400 3030550500 4040734000 6061101000 12122202000