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120022232244012 = 22327488997418429
BaseRepresentation
bin11011010010100011011010…
…100001001001111100101100
3120201222000100201200001022100
4123102203122201021330230
5111212421012423302022
61103133241411015100
734165214542143120
oct3322433241117454
9521860321601270
10120022232244012
113527416314619a
121156514289a490
1351c8081415447
14218d16d9c7580
15dd20c135c1ac
hex6d28da849f2c

120022232244012 has 72 divisors (see below), whose sum is σ = 346801817325600. Its totient is φ = 34285051876608.

The previous prime is 120022232243891. The next prime is 120022232244053. The reversal of 120022232244012 is 210442232220021.

120022232244012 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 2 + 2 + 232 + 24 + 401 + 2 = 666.

It is a super-2 number, since 2×1200222322440122 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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, 47477187 + ... + 49941242.

It is an arithmetic number, because the mean of its divisors is an integer number (4816691907300).

Almost surely, 2120022232244012 is an apocalyptic number.

120022232244012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120022232244012 is an abundant number, since it is smaller than the sum of its proper divisors (226779585081588).

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

120022232244012 is a wasteful number, since it uses less digits than its factorization.

120022232244012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97423335 (or 97423330 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 120022232244012 its reverse (210442232220021), we get a palindrome (330464464464033).

The spelling of 120022232244012 in words is "one hundred twenty trillion, twenty-two billion, two hundred thirty-two million, two hundred forty-four thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 4889 9778 14667 19556 29334 34223 44001 58668 68446 88002 102669 136892 176004 205338 308007 410676 616014 1232028 97418429 194836858 292255287 389673716 584510574 681929003 876765861 1169021148 1363858006 1753531722 2045787009 2727716012 3507063444 4091574018 6137361027 8183148036 12274722054 24549444108 476278699381 952557398762 1428836098143 1905114797524 2857672196286 3333950895667 4286508294429 5715344392572 6667901791334 8573016588858 10001852687001 13335803582668 17146033177716 20003705374002 30005558061003 40007410748004 60011116122006 120022232244012