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12200210110200 = 2335272414973133
BaseRepresentation
bin1011000110001001010100…
…1100001001011011111000
31121012022212121201111022010
42301202111030021123320
53044342012242011300
641540411003325520
72366302402612500
oct261422514113370
947168777644263
1012200210110200
1139840976039a2
1214505958208a0
136a66233c5b08
143026c9954a00
1516254ea49a50
hexb18953096f8

12200210110200 has 144 divisors (see below), whose sum is σ = 43995451666680. Its totient is φ = 2788619447040.

The previous prime is 12200210110163. The next prime is 12200210110201. The reversal of 12200210110200 is 201101200221.

It is a super-2 number, since 2×122002101102002 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200210110201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 207457167 + ... + 207515966.

Almost surely, 212200210110200 is an apocalyptic number.

12200210110200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200210110200 is an abundant number, since it is smaller than the sum of its proper divisors (31795241556480).

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

12200210110200 is a wasteful number, since it uses less digits than its factorization.

12200210110200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414973166 (or 414973150 counting only the distinct ones).

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

Adding to 12200210110200 its reverse (201101200221), we get a palindrome (12401311310421).

The spelling of 12200210110200 in words is "twelve trillion, two hundred billion, two hundred ten million, one hundred ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 49 50 56 60 70 75 84 98 100 105 120 140 147 150 168 175 196 200 210 245 280 294 300 350 392 420 490 525 588 600 700 735 840 980 1050 1176 1225 1400 1470 1960 2100 2450 2940 3675 4200 4900 5880 7350 9800 14700 29400 414973133 829946266 1244919399 1659892532 2074865665 2489838798 2904811931 3319785064 4149731330 4979677596 5809623862 6224596995 8299462660 8714435793 9959355192 10374328325 11619247724 12449193990 14524059655 16598925320 17428871586 20333683517 20748656650 23238495448 24898387980 29048119310 31122984975 34857743172 40667367034 41497313300 43572178965 49796775960 58096238620 61001050551 62245969950 69715486344 72620298275 81334734068 82994626600 87144357930 101668417585 116192477240 122002101102 124491939900 145240596550 162669468136 174288715860 203336835170 217860894825 244004202204 248983879800 290481193100 305005252755 348577431720 406673670340 435721789650 488008404408 508342087925 580962386200 610010505510 813347340680 871443579300 1016684175850 1220021011020 1525026263775 1742887158600 2033368351700 2440042022040 3050052527550 4066736703400 6100105055100 12200210110200