Search a number
-
+
12000022010220 = 22351789132187949
BaseRepresentation
bin1010111010011111100100…
…0011001001100101101100
31120111012011011111100010210
42232213321003021211230
53033102021113311340
641304422313502420
72345654506053156
oct256477103114554
946435134440123
1012000022010220
1139071a9648472
121419827111a10
1369079c127c9a
142d6b388abad6
1515c234d1c180
hexae9f90c996c

12000022010220 has 96 divisors (see below), whose sum is σ = 35976272472000. Its totient is φ = 2977930092544.

The previous prime is 12000022010189. The next prime is 12000022010227. The reversal of 12000022010220 is 2201022000021.

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

It is a junction number, because it is equal to n+sod(n) for n = 12000022010196 and 12000022010205.

It is not an unprimeable number, because it can be changed into a prime (12000022010227) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 66003195 + ... + 66184754.

It is an arithmetic number, because the mean of its divisors is an integer number (374752838250).

Almost surely, 212000022010220 is an apocalyptic number.

12000022010220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000022010220 is an abundant number, since it is smaller than the sum of its proper divisors (23976250461780).

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

12000022010220 is a wasteful number, since it uses less digits than its factorization.

12000022010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132188067 (or 132188065 counting only the distinct ones).

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

Adding to 12000022010220 its reverse (2201022000021), we get a palindrome (14201044010241).

The spelling of 12000022010220 in words is "twelve trillion, twenty-two million, ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 89 102 170 178 204 255 267 340 356 445 510 534 890 1020 1068 1335 1513 1780 2670 3026 4539 5340 6052 7565 9078 15130 18156 22695 30260 45390 90780 132187949 264375898 396563847 528751796 660939745 793127694 1321879490 1586255388 1982819235 2247195133 2643758980 3965638470 4494390266 6741585399 7931276940 8988780532 11235975665 11764727461 13483170798 22471951330 23529454922 26966341596 33707926995 35294182383 44943902660 47058909844 58823637305 67415853990 70588364766 117647274610 134831707980 141176729532 176470911915 200000366837 235294549220 352941823830 400000733674 600001100511 705883647660 800001467348 1000001834185 1200002201022 2000003668370 2400004402044 3000005502555 4000007336740 6000011005110 12000022010220