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122000120220 = 2235111710873451
BaseRepresentation
bin111000110011111000…
…1100001100110011100
3102122220101202020122010
41301213301201212130
53444324012321340
6132013541551220
711546163624456
oct1614761414634
9378811666563
10122000120220
1147815984040
121b789715510
13b6736a4364
145c94c332d6
15329088db80
hex1c67c6199c

122000120220 has 96 divisors (see below), whose sum is σ = 394575826176. Its totient is φ = 27836032000.

The previous prime is 122000120189. The next prime is 122000120317. The reversal of 122000120220 is 22021000221.

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 122000120196 and 122000120205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5425506 + ... + 5447945.

It is an arithmetic number, because the mean of its divisors is an integer number (4110164856).

Almost surely, 2122000120220 is an apocalyptic number.

122000120220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122000120220 is an abundant number, since it is smaller than the sum of its proper divisors (272575705956).

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

122000120220 is a wasteful number, since it uses less digits than its factorization.

122000120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10873491 (or 10873489 counting only the distinct ones).

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

Adding to 122000120220 its reverse (22021000221), we get a palindrome (144021120441).

The spelling of 122000120220 in words is "one hundred twenty-two billion, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 132 165 170 187 204 220 255 330 340 374 510 561 660 748 935 1020 1122 1870 2244 2805 3740 5610 11220 10873451 21746902 32620353 43493804 54367255 65240706 108734510 119607961 130481412 163101765 184848667 217469020 239215922 326203530 358823883 369697334 478431844 554546001 598039805 652407060 717647766 739394668 924243335 1109092002 1196079610 1435295532 1794119415 1848486670 2033335337 2218184004 2392159220 2772730005 3588238830 3696973340 4066670674 5545460010 6100006011 7176477660 8133341348 10166676685 11090920020 12200012022 20333353370 24400024044 30500030055 40666706740 61000060110 122000120220