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112020201001200 = 24352113826107677
BaseRepresentation
bin11001011110000110111100…
…010010011101000011110000
3112200122000201102010211010210
4121132012330102131003300
5104140314332424014300
61034125211522224120
732411123002636062
oct3136067422350360
9480560642124123
10112020201001200
1132769556117198
12106923227b5040
134a675c8a5837b
141d93b41679732
15ce3d80e12050
hex65e1bc49d0f0

112020201001200 has 120 divisors (see below), whose sum is σ = 362013602222448. Its totient is φ = 29607699107840.

The previous prime is 112020201001183. The next prime is 112020201001201. The reversal of 112020201001200 is 2100102020211.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112020201001201) by changing a digit.

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, 412918239 + ... + 413189438.

Almost surely, 2112020201001200 is an apocalyptic number.

112020201001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112020201001200 is an abundant number, since it is smaller than the sum of its proper divisors (249993401221248).

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

112020201001200 is a wasteful number, since it uses less digits than its factorization.

112020201001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826107811 (or 826107800 counting only the distinct ones).

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

Adding to 112020201001200 its reverse (2100102020211), we get a palindrome (114120303021411).

The spelling of 112020201001200 in words is "one hundred twelve trillion, twenty billion, two hundred one 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 80 100 113 120 150 200 226 240 300 339 400 452 565 600 678 904 1130 1200 1356 1695 1808 2260 2712 2825 3390 4520 5424 5650 6780 8475 9040 11300 13560 16950 22600 27120 33900 45200 67800 135600 826107677 1652215354 2478323031 3304430708 4130538385 4956646062 6608861416 8261076770 9913292124 12391615155 13217722832 16522153540 19826584248 20652691925 24783230310 33044307080 39653168496 41305383850 49566460620 61958075775 66088614160 82610767700 93350167501 99132921240 123916151550 165221535400 186700335002 198265842480 247832303100 280050502503 330443070800 373400670004 466750837505 495664606200 560101005006 746801340008 933501675010 991329212400 1120202010012 1400252512515 1493602680016 1867003350020 2240404020024 2333754187525 2800505025030 3734006700040 4480808040048 4667508375050 5601010050060 7001262562575 7468013400080 9335016750100 11202020100120 14002525125150 18670033500200 22404040200240 28005050250300 37340067000400 56010100500600 112020201001200