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22012212120120 = 2333520381677889
BaseRepresentation
bin1010000000101000111100…
…00101011000101000111000
32212221100100220120100002000
411000110132011120220320
510341122002300320440
6114452134243141000
74431221064600465
oct500243605305070
985840326510060
1022012212120120
117017365980482
122576145374760
13c3898691b791
1456157a98466c
152828c5034730
hex14051e158a38

22012212120120 has 64 divisors (see below), whose sum is σ = 73374040404000. Its totient is φ = 5869923231744.

The previous prime is 22012212120109. The next prime is 22012212120131. The reversal of 22012212120120 is 2102121221022.

It is a happy number.

22012212120120 is a `hidden beast` number, since 2 + 201 + 221 + 2 + 120 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (22012212120109) and next prime (22012212120131).

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 = 22012212120093 and 22012212120102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10190837865 + ... + 10190840024.

Almost surely, 222012212120120 is an apocalyptic number.

22012212120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22012212120120 is an abundant number, since it is smaller than the sum of its proper divisors (51361828283880).

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

22012212120120 is a wasteful number, since it uses less digits than its factorization.

22012212120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20381677909 (or 20381677899 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22012212120120 its reverse (2102121221022), we get a palindrome (24114333341142).

The spelling of 22012212120120 in words is "twenty-two trillion, twelve billion, two hundred twelve million, one hundred twenty 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 20381677889 40763355778 61145033667 81526711556 101908389445 122290067334 163053423112 183435101001 203816778890 244580134668 305725168335 366870202002 407633557780 489160269336 550305303003 611450336670 733740404004 815267115560 917175505005 1100610606006 1222900673340 1467480808008 1834351010010 2201221212012 2445801346680 2751526515015 3668702020020 4402442424024 5503053030030 7337404040040 11006106060060 22012212120120