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120222011200020 = 223559113300540001
BaseRepresentation
bin11011010101011101011110…
…010001011001001000010100
3120202200010000200000112110020
4123111131132101121020110
5111224204134331400040
61103405121323225140
734215516340225032
oct3325353621311024
9522603020015406
10120222011200020
1135340961160804
12115979b83781b0
135210b6b9bc952
142198ac25a9552
15dd73b51bbcd0
hex6d575e459214

120222011200020 has 96 divisors (see below), whose sum is σ = 345356527098240. Its totient is φ = 31236925440000.

The previous prime is 120222011199931. The next prime is 120222011200097. The reversal of 120222011200020 is 20002110222021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 149869981 + ... + 150670020.

It is an arithmetic number, because the mean of its divisors is an integer number (3597463823940).

Almost surely, 2120222011200020 is an apocalyptic number.

120222011200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120222011200020 is an abundant number, since it is smaller than the sum of its proper divisors (225134515898220).

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

120222011200020 is a wasteful number, since it uses less digits than its factorization.

120222011200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300540185 (or 300540183 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 120222011200020 its reverse (20002110222021), we get a palindrome (140224121422041).

The spelling of 120222011200020 in words is "one hundred twenty trillion, two hundred twenty-two billion, eleven million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 113 118 177 226 236 295 339 354 452 565 590 678 708 885 1130 1180 1356 1695 1770 2260 3390 3540 6667 6780 13334 20001 26668 33335 40002 66670 80004 100005 133340 200010 400020 300540001 601080002 901620003 1202160004 1502700005 1803240006 3005400010 3606480012 4508100015 6010800020 9016200030 17731860059 18032400060 33961020113 35463720118 53195580177 67922040226 70927440236 88659300295 101883060339 106391160354 135844080452 169805100565 177318600590 203766120678 212782320708 265977900885 339610201130 354637201180 407532241356 509415301695 531955801770 679220402260 1018830603390 1063911603540 2003700186667 2037661206780 4007400373334 6011100560001 8014800746668 10018500933335 12022201120002 20037001866670 24044402240004 30055502800005 40074003733340 60111005600010 120222011200020