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12022200220100 = 22527210159241511
BaseRepresentation
bin1010111011110010001011…
…1110010011100111000100
31120120022101210201010121112
42232330202332103213010
53033432431224020400
641322531133504152
72350401220533200
oct256744276234704
946508353633545
1012022200220100
11391564a673844
121421b96642058
136928c4b750b5
142d7c4019bb00
1515cad1ded835
hexaef22f939c4

12022200220100 has 108 divisors (see below), whose sum is σ = 30350581188480. Its totient is φ = 4121474414400.

The previous prime is 12022200219971. The next prime is 12022200220123. The reversal of 12022200220100 is 102200222021.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49658345 + ... + 49899855.

Almost surely, 212022200220100 is an apocalyptic number.

12022200220100 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 12022200220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15175290594240).

12022200220100 is an abundant number, since it is smaller than the sum of its proper divisors (18328380968380).

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

12022200220100 is a wasteful number, since it uses less digits than its factorization.

12022200220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251698 (or 251684 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12022200220100 its reverse (102200222021), we get a palindrome (12124400442121).

The spelling of 12022200220100 in words is "twelve trillion, twenty-two billion, two hundred million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 10159 20318 40636 50795 71113 101590 142226 203180 241511 253975 284452 355565 483022 497791 507950 711130 966044 995582 1015900 1207555 1422260 1690577 1777825 1991164 2415110 2488955 3381154 3555650 4830220 4977910 6037775 6762308 7111300 8452885 9955820 11834039 12075550 12444775 16905770 23668078 24151100 24889550 33811540 42264425 47336156 49779100 59170195 84528850 118340390 169057700 236680780 295850975 591701950 1183403900 2453510249 4907020498 9814040996 12267551245 17174571743 24535102490 34349143486 49070204980 61337756225 68698286972 85872858715 120222002201 122675512450 171745717430 240444004402 245351024900 343491434860 429364293575 480888008804 601110011005 858728587150 1202220022010 1717457174300 2404440044020 3005550055025 6011100110050 12022200220100