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12200101020220 = 22543125919735711
BaseRepresentation
bin1011000110001000111010…
…1100000000001000111100
31121012022121000110010222111
42301202032230000020330
53044341301330121340
641540352105223404
72366266606431061
oct261421654001074
947168530403874
1012200101020220
113984040a73a93
121450565191b64
136a660691ba29
143026b9278c68
1516254519baea
hexb188eb0023c

12200101020220 has 96 divisors (see below), whose sum is σ = 26254748298240. Its totient is φ = 4759517602560.

The previous prime is 12200101020181. The next prime is 12200101020253. The reversal of 12200101020220 is 2202010100221.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12200101020220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2136243165 + ... + 2136248875.

It is an arithmetic number, because the mean of its divisors is an integer number (273486961440).

Almost surely, 212200101020220 is an apocalyptic number.

12200101020220 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 12200101020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13127374149120).

12200101020220 is an abundant number, since it is smaller than the sum of its proper divisors (14054647278020).

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

12200101020220 is a wasteful number, since it uses less digits than its factorization.

12200101020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8995 (or 8993 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12200101020220 its reverse (2202010100221), we get a palindrome (14402111120441).

The spelling of 12200101020220 in words is "twelve trillion, two hundred billion, one hundred one million, twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 860 1259 1973 2518 3946 5036 5711 6295 7892 9865 11422 12590 19730 22844 25180 28555 39460 54137 57110 84839 108274 114220 169678 216548 245573 270685 339356 424195 491146 541370 848390 982292 1082740 1227865 1696780 2455730 2484007 4911460 4968014 7190149 9936028 11267803 12420035 14380298 22535606 24840070 28760596 35950745 45071212 49680140 56339015 71901490 106812301 112678030 143802980 213624602 225356060 309176407 427249204 484515529 534061505 618352814 969031058 1068123010 1236705628 1545882035 1938062116 2136246020 2422577645 3091764070 4845155290 6183528140 9690310580 14186163977 28372327954 56744655908 70930819885 141861639770 283723279540 610005051011 1220010102022 2440020204044 3050025255055 6100050510110 12200101020220