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22010112001200 = 2435296011910401
BaseRepresentation
bin1010000000100101000001…
…11010000100010010110000
32212221010221112211020111210
411000102200322010102300
510341103202133014300
6114451150022240120
74431115044100011
oct500224072042260
985833845736453
1022010112001200
117016488471004
122575859b86040
13c387107bb76b
1456141baa7008
15282800997050
hex1404a0e844b0

22010112001200 has 120 divisors (see below), whose sum is σ = 70513105935376. Its totient is φ = 5868748800000.

The previous prime is 22010112001177. The next prime is 22010112001201. The reversal of 22010112001200 is 210021101022.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (22010112001201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10566000 + ... + 12476400.

Almost surely, 222010112001200 is an apocalyptic number.

22010112001200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22010112001200 is an abundant number, since it is smaller than the sum of its proper divisors (48502993934176).

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

22010112001200 is a wasteful number, since it uses less digits than its factorization.

22010112001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920023 (or 1920012 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22010112001200 its reverse (210021101022), we get a palindrome (22220133102222).

The spelling of 22010112001200 in words is "twenty-two trillion, ten billion, one hundred twelve million, one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 9601 19202 28803 38404 48005 57606 76808 96010 115212 144015 153616 192020 230424 240025 288030 384040 460848 480050 576060 720075 768080 960100 1152120 1440150 1910401 1920200 2304240 2880300 3820802 3840400 5731203 5760600 7641604 9552005 11462406 11521200 15283208 19104010 22924812 28656015 30566416 38208020 45849624 47760025 57312030 76416040 91699248 95520050 114624060 143280075 152832080 191040100 229248120 286560150 382080200 458496240 573120300 764160400 1146240600 2292481200 18341760001 36683520002 55025280003 73367040004 91708800005 110050560006 146734080008 183417600010 220101120012 275126400015 293468160016 366835200020 440202240024 458544000025 550252800030 733670400040 880404480048 917088000050 1100505600060 1375632000075 1467340800080 1834176000100 2201011200120 2751264000150 3668352000200 4402022400240 5502528000300 7336704000400 11005056000600 22010112001200