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112122012200 = 23521124633141
BaseRepresentation
bin110100001101011111…
…1100010001000101000
3101201101222100100212112
41220122333202020220
53314111213342300
6123301431501452
711046326243642
oct1503277421050
9351358310775
10112122012200
1143606a53300
1219891527888
13a75b024023
1455d8d5d892
152db355be35
hex1a1afe2228

112122012200 has 72 divisors (see below), whose sum is σ = 286536666990. Its totient is φ = 40771632000.

The previous prime is 112122012187. The next prime is 112122012209. The reversal of 112122012200 is 2210221211.

It can be written as a sum of positive squares in 3 ways, for example, as 70897582756 + 41224429444 = 266266^2 + 203038^2 .

It is not an unprimeable number, because it can be changed into a prime (112122012209) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 2292371 + ... + 2340770.

Almost surely, 2112122012200 is an apocalyptic number.

112122012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112122012200 is an abundant number, since it is smaller than the sum of its proper divisors (174414654790).

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

112122012200 is a wasteful number, since it uses less digits than its factorization.

112122012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4633179 (or 4633159 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 112122012200 its reverse (2210221211), we get a palindrome (114332233411).

The spelling of 112122012200 in words is "one hundred twelve billion, one hundred twenty-two million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 484 550 605 968 1100 1210 2200 2420 3025 4840 6050 12100 24200 4633141 9266282 18532564 23165705 37065128 46331410 50964551 92662820 101929102 115828525 185325640 203858204 231657050 254822755 407716408 463314100 509645510 560610061 926628200 1019291020 1121220122 1274113775 2038582040 2242440244 2548227550 2803050305 4484880488 5096455100 5606100610 10192910200 11212201220 14015251525 22424402440 28030503050 56061006100 112122012200