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22221220200120 = 2333520575203889
BaseRepresentation
bin1010000110101110001111…
…11011111011111010111000
32220200022212001010220021000
411003113013323323322320
510403033024332400440
6115132142043445000
74452300360140424
oct503270773737270
986608761126230
1022221220200120
117097a6a551497
1225aa755826760
13c525b52898b6
1456b727181b84
1528805922e730
hex1435c7efbeb8

22221220200120 has 64 divisors (see below), whose sum is σ = 74070734004000. Its totient is φ = 5925658719744.

The previous prime is 22221220200001. The next prime is 22221220200197. The reversal of 22221220200120 is 2100202212222.

22221220200120 is a `hidden beast` number, since 2 + 2 + 221 + 220 + 200 + 1 + 20 = 666.

It is a super-3 number, since 3×222212202001203 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22221220200093 and 22221220200102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10287600865 + ... + 10287603024.

Almost surely, 222221220200120 is an apocalyptic number.

22221220200120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22221220200120 is an abundant number, since it is smaller than the sum of its proper divisors (51849513803880).

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

22221220200120 is a wasteful number, since it uses less digits than its factorization.

22221220200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20575203909 (or 20575203899 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22221220200120 its reverse (2100202212222), we get a palindrome (24321422412342).

The spelling of 22221220200120 in words is "twenty-two trillion, two hundred twenty-one billion, two hundred twenty million, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 20575203889 41150407778 61725611667 82300815556 102876019445 123451223334 164601631112 185176835001 205752038890 246902446668 308628058335 370353670002 411504077780 493804893336 555530505003 617256116670 740707340004 823008155560 925884175005 1111061010006 1234512233340 1481414680008 1851768350010 2222122020012 2469024466680 2777652525015 3703536700020 4444244040024 5555305050030 7407073400040 11110610100060 22221220200120