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120222101220100 = 225211265241412051
BaseRepresentation
bin11011010101011101100011…
…101000110010101100000100
3120202200010020221102000210021
4123111131203220302230010
5111224204330403020400
61103405134300504524
734215521512333165
oct3325354350625404
9522603227360707
10120222101220100
11353409a7a56170
1211597a2254b144
135210b8454aa79
142198ad051d76c
15dd73bd04e71a
hex6d5763a32b04

120222101220100 has 72 divisors (see below), whose sum is σ = 284600265104736. Its totient is φ = 43716856800000.

The previous prime is 120222101220079. The next prime is 120222101220107. The reversal of 120222101220100 is 1022101222021.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (120222101220107) by changing a digit.

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, 291559075 + ... + 291971125.

It is an arithmetic number, because the mean of its divisors is an integer number (3952781459788).

Almost surely, 2120222101220100 is an apocalyptic number.

120222101220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120222101220100 is an abundant number, since it is smaller than the sum of its proper divisors (164378163884636).

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

120222101220100 is a wasteful number, since it uses less digits than its factorization.

120222101220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677317 (or 677310 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 120222101220100 its reverse (1022101222021), we get a palindrome (121244202442121).

The spelling of 120222101220100 in words is "one hundred twenty trillion, two hundred twenty-two billion, one hundred one million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 265241 412051 530482 824102 1060964 1326205 1648204 2060255 2652410 2917651 4120510 4532561 5304820 5835302 6631025 8241020 9065122 10301275 11670604 13262050 14588255 18130244 20602550 22662805 26524100 29176510 41205100 45325610 58353020 72941275 90651220 113314025 145882550 226628050 291765100 453256100 109292819291 218585638582 437171277164 546464096455 1092928192910 1202221012201 2185856385820 2404442024402 2732320482275 4808884048804 5464640964550 6011105061005 10929281929100 12022210122010 24044420244020 30055525305025 60111050610050 120222101220100