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112230121200 = 24352241138791
BaseRepresentation
bin110100010000101101…
…1111011111011110000
3101201200111202212112120
41220201123323323300
53314321402334300
6123320252554240
711052111201351
oct1504133737360
9351614685476
10112230121200
1143661a8318a
1219901782980
13a777546752
145609461d28
152dbccb43a0
hex1a216fbef0

112230121200 has 120 divisors (see below), whose sum is σ = 359668872576. Its totient is φ = 29914848000.

The previous prime is 112230121153. The next prime is 112230121321. The reversal of 112230121200 is 2121032211.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112230121200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2873805 + ... + 2912595.

Almost surely, 2112230121200 is an apocalyptic number.

112230121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112230121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179834436288).

112230121200 is an abundant number, since it is smaller than the sum of its proper divisors (247438751376).

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

112230121200 is a wasteful number, since it uses less digits than its factorization.

112230121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41223 (or 41212 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 112230121200 its reverse (2121032211), we get a palindrome (114351153411).

The spelling of 112230121200 in words is "one hundred twelve billion, two hundred thirty million, one hundred twenty-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 2411 4822 7233 9644 12055 14466 19288 24110 28932 36165 38576 38791 48220 57864 60275 72330 77582 96440 115728 116373 120550 144660 155164 180825 192880 193955 232746 241100 289320 310328 361650 387910 465492 482200 578640 581865 620656 723300 775820 930984 964400 969775 1163730 1446600 1551640 1861968 1939550 2327460 2893200 2909325 3103280 3879100 4654920 5818650 7758200 9309840 11637300 15516400 23274600 46549200 93525101 187050202 280575303 374100404 467625505 561150606 748200808 935251010 1122301212 1402876515 1496401616 1870502020 2244602424 2338127525 2805753030 3741004040 4489204848 4676255050 5611506060 7014382575 7482008080 9352510100 11223012120 14028765150 18705020200 22446024240 28057530300 37410040400 56115060600 112230121200