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120111011220 = 22356760749223
BaseRepresentation
bin110111111011100101…
…1001001010110010100
3102111000202001120021010
41233313023021112110
53431441404324340
6131102255452220
711451314515164
oct1576713112624
9374022046233
10120111011220
1146a36597532
121b340b27070
13b4321b4a95
145b55da25a4
1531cead2b80
hex1bf72c9594

120111011220 has 96 divisors (see below), whose sum is σ = 341899665408. Its totient is φ = 31498929792.

The previous prime is 120111011197. The next prime is 120111011221. The reversal of 120111011220 is 22110111021.

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 = 120111011196 and 120111011205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120111011221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2415529 + ... + 2464751.

It is an arithmetic number, because the mean of its divisors is an integer number (3561454848).

Almost surely, 2120111011220 is an apocalyptic number.

120111011220 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 120111011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170949832704).

120111011220 is an abundant number, since it is smaller than the sum of its proper divisors (221788654188).

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

120111011220 is a wasteful number, since it uses less digits than its factorization.

120111011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49909 (or 49907 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 120111011220 its reverse (22110111021), we get a palindrome (142221122241).

The spelling of 120111011220 in words is "one hundred twenty billion, one hundred eleven million, eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 607 670 804 1005 1214 1340 1821 2010 2428 3035 3642 4020 6070 7284 9105 12140 18210 36420 40669 49223 81338 98446 122007 147669 162676 196892 203345 244014 246115 295338 406690 488028 492230 590676 610035 738345 813380 984460 1220070 1476690 2440140 2953380 3297941 6595882 9893823 13191764 16489705 19787646 29878361 32979410 39575292 49469115 59756722 65958820 89635083 98938230 119513444 149391805 179270166 197876460 298783610 358540332 448175415 597567220 896350830 1792701660 2001850187 4003700374 6005550561 8007400748 10009250935 12011101122 20018501870 24022202244 30027752805 40037003740 60055505610 120111011220