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12201211202000 = 245317363798669
BaseRepresentation
bin1011000110001101000011…
…0111000000100111010000
31121012102110101110020002012
42301203100313000213100
53044401040031431000
641541054204242052
72366336250011462
oct261432067004720
947172411406065
1012201211202000
113984560702a97
121450814b40328
136a6752925c22
143027828a8132
151625ac894735
hexb18d0dc09d0

12201211202000 has 160 divisors (see below), whose sum is σ = 31246877170080. Its totient is φ = 4592087654400.

The previous prime is 12201211201969. The next prime is 12201211202023. The reversal of 12201211202000 is 20211210221.

It can be written as a sum of positive squares in 16 ways, for example, as 12099572661136 + 101638540864 = 3478444^2 + 318808^2 .

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, 123608666 + ... + 123707334.

It is an arithmetic number, because the mean of its divisors is an integer number (195292982313).

Almost surely, 212201211202000 is an apocalyptic number.

12201211202000 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 12201211202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15623438585040).

12201211202000 is an abundant number, since it is smaller than the sum of its proper divisors (19045665968080).

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

12201211202000 is a wasteful number, since it uses less digits than its factorization.

12201211202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102346 (or 102330 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12201211202000 its reverse (20211210221), we get a palindrome (12221422412221).

The spelling of 12201211202000 in words is "twelve trillion, two hundred one billion, two hundred eleven million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 680 850 1000 1360 1700 2000 2125 3400 3637 4250 6800 7274 8500 14548 17000 18185 29096 34000 36370 58192 61829 72740 90925 98669 123658 145480 181850 197338 247316 290960 309145 363700 394676 454625 493345 494632 618290 727400 789352 909250 986690 989264 1236580 1454800 1545725 1578704 1677373 1818500 1973380 2466725 2473160 3091450 3354746 3637000 3946760 4933450 4946320 6182900 6709492 7274000 7728625 7893520 8386865 9866900 12333625 12365800 13418984 15457250 16773730 19733800 24667250 24731600 26837968 30914500 33547460 39467600 41934325 49334500 61829000 67094920 83868650 98669000 123658000 134189840 167737300 197338000 209671625 335474600 358859153 419343250 670949200 717718306 838686500 1435436612 1677373000 1794295765 2870873224 3354746000 3588591530 5741746448 6100605601 7177183060 8971478825 12201211202 14354366120 17942957650 24402422404 28708732240 30503028005 35885915300 44857394125 48804844808 61006056010 71771830600 89714788250 97609689616 122012112020 143543661200 152515140025 179429576500 244024224040 305030280050 358859153000 488048448080 610060560100 717718306000 762575700125 1220121120200 1525151400250 2440242240400 3050302800500 6100605601000 12201211202000