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12200102222220 = 22335112053889263
BaseRepresentation
bin1011000110001000111011…
…0000100101100110001100
31121012022121002201012211000
42301202032300211212030
53044341302132102340
641540352151100300
72366266622565333
oct261421660454614
947168532635730
1012200102222220
113984041715080
121450565671690
136a6606c4cb83
143026b94acd1a
15162545337d30
hexb188ec2598c

12200102222220 has 96 divisors (see below), whose sum is σ = 41406407562240. Its totient is φ = 2957600537280.

The previous prime is 12200102222201. The next prime is 12200102222239. The reversal of 12200102222220 is 2222220100221.

12200102222220 is a `hidden beast` number, since 1 + 220 + 0 + 1 + 0 + 2 + 222 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (12200102222201) and next prime (12200102222239).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12200102222193 and 12200102222202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1026938692 + ... + 1026950571.

It is an arithmetic number, because the mean of its divisors is an integer number (431316745440).

Almost surely, 212200102222220 is an apocalyptic number.

12200102222220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200102222220 is an abundant number, since it is smaller than the sum of its proper divisors (29206305340020).

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

12200102222220 is a wasteful number, since it uses less digits than its factorization.

12200102222220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053889292 (or 2053889284 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12200102222220 its reverse (2222220100221), we get a palindrome (14422322322441).

The spelling of 12200102222220 in words is "twelve trillion, two hundred billion, one hundred two million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 2053889263 4107778526 6161667789 8215557052 10269446315 12323335578 18485003367 20538892630 22592781893 24646671156 30808338945 36970006734 41077785260 45185563786 55455010101 61616677890 67778345679 73940013468 90371127572 92425016835 110910020202 112963909465 123233355780 135556691358 184850033670 203335037037 221820040404 225927818930 271113382716 277275050505 338891728395 369700067340 406670074074 451855637860 554550101010 610005111111 677783456790 813340148148 1016675185185 1109100202020 1220010222222 1355566913580 2033350370370 2440020444444 3050025555555 4066700740740 6100051111110 12200102222220