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120000120210 = 232543241128663
BaseRepresentation
bin110111111000010010…
…0001000010110010010
3102110202000101201101200
41233300210020112102
53431230012321320
6131043255012030
711445500122605
oct1576044102622
9373660351350
10120000120210
1146989a37473
121b30b96a016
13b415229cb9
145b4537833c
1531c4ecb290
hex1bf0908592

120000120210 has 96 divisors (see below), whose sum is σ = 320583339648. Its totient is φ = 31125911040.

The previous prime is 120000120193. The next prime is 120000120281. The reversal of 120000120210 is 12021000021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 120000120192 and 120000120201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 868339 + ... + 997001.

It is an arithmetic number, because the mean of its divisors is an integer number (3339409788).

Almost surely, 2120000120210 is an apocalyptic number.

120000120210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120000120210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160291669824).

120000120210 is an abundant number, since it is smaller than the sum of its proper divisors (200583219438).

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

120000120210 is a wasteful number, since it uses less digits than its factorization.

120000120210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128960 (or 128957 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120000120210 its reverse (12021000021), we get a palindrome (132021120231).

The spelling of 120000120210 in words is "one hundred twenty billion, one hundred twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 215 241 258 387 430 482 645 723 774 1205 1290 1446 1935 2169 2410 3615 3870 4338 7230 10363 10845 20726 21690 31089 51815 62178 93267 103630 128663 155445 186534 257326 310890 385989 466335 643315 771978 932670 1157967 1286630 1929945 2315934 3859890 5532509 5789835 11065018 11579670 16597527 27662545 31007783 33195054 49792581 55325090 62015566 82987635 93023349 99585162 155038915 165975270 186046698 248962905 279070047 310077830 465116745 497925810 558140094 930233490 1333334669 1395350235 2666669338 2790700470 4000004007 6666673345 8000008014 12000012021 13333346690 20000020035 24000024042 40000040070 60000060105 120000120210