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12200200200210 = 23511157269875389
BaseRepresentation
bin1011000110001001010010…
…0110010110000000010010
31121012022211221002000100110
42301202110212112000102
53044342002222401320
641540410011102150
72366302222436421
oct261422446260022
947168757060313
1012200200200210
113984091a55420
121450592441956
136a6621336209
143026c84d52b8
1516254dc3d5e0
hexb1894996012

12200200200210 has 128 divisors (see below), whose sum is σ = 32265334713600. Its totient is φ = 2927857720320.

The previous prime is 12200200200179. The next prime is 12200200200229. The reversal of 12200200200210 is 1200200200221.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13499196 + ... + 14374584.

It is an arithmetic number, because the mean of its divisors is an integer number (252072927450).

Almost surely, 212200200200210 is an apocalyptic number.

12200200200210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12200200200210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16132667356800).

12200200200210 is an abundant number, since it is smaller than the sum of its proper divisors (20065134513390).

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

12200200200210 is a wasteful number, since it uses less digits than its factorization.

12200200200210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875836.

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

Adding to 12200200200210 its reverse (1200200200221), we get a palindrome (13400400400431).

The spelling of 12200200200210 in words is "twelve trillion, two hundred billion, two hundred million, two hundred thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 157 165 269 314 330 471 538 785 807 942 1345 1570 1614 1727 2355 2690 2959 3454 4035 4710 5181 5918 8070 8635 8877 10362 14795 17270 17754 25905 29590 42233 44385 51810 84466 88770 126699 211165 253398 422330 464563 633495 875389 929126 1266990 1393689 1750778 2322815 2626167 2787378 4376945 4645630 5252334 6968445 8753890 9629279 13130835 13936890 19258558 26261670 28887837 48146395 57775674 96292790 137436073 144439185 235479641 274872146 288878370 412308219 470959282 687180365 706438923 824616438 1177398205 1374360730 1412877846 1511796803 2061541095 2354796410 2590276051 3023593606 3532194615 4123082190 4535390409 5180552102 7064389230 7558984015 7770828153 9070780818 12951380255 15117968030 15541656306 22676952045 25902760510 36970303637 38854140765 45353904090 73940607274 77708281530 110910910911 184851518185 221821821822 369703036370 406673340007 554554554555 813346680014 1109109109110 1220020020021 2033366700035 2440040040042 4066733400070 6100100100105 12200200200210