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120222220100000 = 25551770718953
BaseRepresentation
bin11011010101011101101010…
…101110010010000110100000
3120202200010120020002202100112
4123111131222232102012200
5111224210101321200000
61103405154144510452
734215524454650624
oct3325355256220640
9522603506082315
10120222220100000
1135340a59072417
1211597a5631b428
135210ba3071bc5
142198b02227184
15dd73c86d3235
hex6d576ab921a0

120222220100000 has 144 divisors (see below), whose sum is σ = 313242817723416. Its totient is φ = 45260129280000.

The previous prime is 120222220099997. The next prime is 120222220100027. The reversal of 120222220100000 is 1022222021.

It can be written as a sum of positive squares in 12 ways, for example, as 82383433147024 + 37838786952976 = 9076532^2 + 6151324^2 .

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, 33659477 + ... + 37059476.

Almost surely, 2120222220100000 is an apocalyptic number.

120222220100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120222220100000 is an abundant number, since it is smaller than the sum of its proper divisors (193020597623416).

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

120222220100000 is an frugal number, since it uses more digits than its factorization.

120222220100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70719005 (or 70718977 counting only the distinct ones).

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

Adding to 120222220100000 its reverse (1022222021), we get a palindrome (120223242322021).

The spelling of 120222220100000 in words is "one hundred twenty trillion, two hundred twenty-two billion, two hundred twenty million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 125 136 160 170 200 250 272 340 400 425 500 544 625 680 800 850 1000 1250 1360 1700 2000 2125 2500 2720 3125 3400 4000 4250 5000 6250 6800 8500 10000 10625 12500 13600 17000 20000 21250 25000 34000 42500 50000 53125 68000 85000 100000 106250 170000 212500 340000 425000 850000 1700000 70718953 141437906 282875812 353594765 565751624 707189530 1131503248 1202222201 1414379060 1767973825 2263006496 2404444402 2828758120 3535947650 4808888804 5657516240 6011111005 7071895300 8839869125 9617777608 11315032480 12022222010 14143790600 17679738250 19235555216 24044444020 28287581200 30055555025 35359476500 38471110432 44199345625 48088888040 56575162400 60111110050 70718953000 88398691250 96177776080 120222220100 141437906000 150277775125 176797382500 192355552160 220996728125 240444440200 282875812000 300555550250 353594765000 441993456250 480888880400 601111100500 707189530000 751388875625 883986912500 961777760800 1202222201000 1414379060000 1502777751250 1767973825000 2404444402000 3005555502500 3535947650000 3756944378125 4808888804000 6011111005000 7071895300000 7513888756250 12022222010000 15027777512500 24044444020000 30055555025000 60111110050000 120222220100000