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120220001100210 = 235116728119350031
BaseRepresentation
bin11011010101011011100110…
…011101011110000110110010
3120202122220211120122212220010
4123111123212131132012302
5111224141030240201320
61103404150035555350
734215415461526524
oct3325334635360662
9522586746585803
10120220001100210
113534001a545aa0
121159753715bb56
13521090b41a48b
142198971641a14
15dd72e89b1ae0
hex6d56e675e1b2

120220001100210 has 128 divisors (see below), whose sum is σ = 320592568578048. Its totient is φ = 28607084352000.

The previous prime is 120220001100163. The next prime is 120220001100257. The reversal of 120220001100210 is 12001100022021.

It is an interprime number because it is at equal distance from previous prime (120220001100163) and next prime (120220001100257).

It is a super-2 number, since 2×1202200011002102 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3462106 + ... + 15887925.

It is an arithmetic number, because the mean of its divisors is an integer number (2504629442016).

Almost surely, 2120220001100210 is an apocalyptic number.

120220001100210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120220001100210 is an abundant number, since it is smaller than the sum of its proper divisors (200372567477838).

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

120220001100210 is a wasteful number, since it uses less digits than its factorization.

120220001100210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19350400.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120220001100210 its reverse (12001100022021), we get a palindrome (132221101122231).

The spelling of 120220001100210 in words is "one hundred twenty trillion, two hundred twenty billion, one million, one hundred thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 67 110 134 165 201 281 330 335 402 562 670 737 843 1005 1405 1474 1686 2010 2211 2810 3091 3685 4215 4422 6182 7370 8430 9273 11055 15455 18546 18827 22110 30910 37654 46365 56481 92730 94135 112962 188270 207097 282405 414194 564810 621291 1035485 1242582 2070970 3106455 6212910 19350031 38700062 58050093 96750155 116100186 193500310 212850341 290250465 425700682 580500930 638551023 1064251705 1277102046 1296452077 2128503410 2592904154 3192755115 3889356231 5437358711 6385510230 6482260385 7778712462 10874717422 12964520770 14260972847 16312076133 19446781155 27186793555 28521945694 32624152266 38893562310 42782918541 54373587110 59810945821 71304864235 81560380665 85565837082 119621891642 142609728470 163120761330 179432837463 213914592705 299054729105 358865674926 364303033637 427829185410 598109458210 728606067274 897164187315 1092909100911 1794328374630 1821515168185 2185818201822 3643030336370 4007333370007 5464545504555 8014666740014 10929091009110 12022000110021 20036666850035 24044000220042 40073333700070 60110000550105 120220001100210