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12200220212200 = 23521094903114143
BaseRepresentation
bin1011000110001001010111…
…0010101011101111101000
31121012022220022201201122021
42301202111302223233220
53044342022333242300
641540412004034224
72366302554515416
oct261422562535750
947168808651567
1012200220212200
1139840a2283759
121450599092974
136a6625521c27
143026cb0242b6
15162550892d1a
hexb1895cabbe8

12200220212200 has 96 divisors (see below), whose sum is σ = 28631835302400. Its totient is φ = 4834288085760.

The previous prime is 12200220212183. The next prime is 12200220212231. The reversal of 12200220212200 is 221202200221.

It is a super-4 number, since 4×122002202122004 (a number of 53 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106828329 + ... + 106942471.

It is an arithmetic number, because the mean of its divisors is an integer number (298248284400).

Almost surely, 212200220212200 is an apocalyptic number.

12200220212200 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 12200220212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14315917651200).

12200220212200 is an abundant number, since it is smaller than the sum of its proper divisors (16431615090200).

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

12200220212200 is a wasteful number, since it uses less digits than its factorization.

12200220212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119171 (or 119162 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12200220212200 its reverse (221202200221), we get a palindrome (12421422412421).

The spelling of 12200220212200 in words is "twelve trillion, two hundred billion, two hundred twenty million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 200 218 436 545 872 1090 2180 2725 4360 4903 5450 9806 10900 19612 21800 24515 39224 49030 98060 114143 122575 196120 228286 245150 456572 490300 534427 570715 913144 980600 1068854 1141430 2137708 2282860 2672135 2853575 4275416 4565720 5344270 5707150 10688540 11414300 12441587 13360675 21377080 22828600 24883174 26721350 49766348 53442700 62207935 99532696 106885400 124415870 248831740 311039675 497663480 559643129 622079350 1119286258 1244158700 2238572516 2488317400 2798215645 4477145032 5596431290 11192862580 13991078225 22385725160 27982156450 55964312900 61001101061 111928625800 122002202122 244004404244 305005505305 488008808488 610011010610 1220022021220 1525027526525 2440044042440 3050055053050 6100110106100 12200220212200