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112200122000 = 245356100061
BaseRepresentation
bin110100001111110100…
…1011111111010010000
3101201121102022202101002
41220133221133322100
53314241212401000
6123313302001132
711051265205211
oct1503751377220
9351542282332
10112200122000
114364705335a
12198b37161a8
13a771271c45
145605493408
152dba33a8d5
hex1a1fa5fe90

112200122000 has 40 divisors (see below), whose sum is σ = 271299899832. Its totient is φ = 44880048000.

The previous prime is 112200121987. The next prime is 112200122053. The reversal of 112200122000 is 221002211.

It is a happy number.

112200122000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 384787456 + 111815334544 = 19616^2 + 334388^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28048031 + ... + 28052030.

Almost surely, 2112200122000 is an apocalyptic number.

112200122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112200122000 is an abundant number, since it is smaller than the sum of its proper divisors (159099777832).

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

112200122000 is an equidigital number, since it uses as much as digits as its factorization.

112200122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56100084 (or 56100068 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 112200122000 its reverse (221002211), we get a palindrome (112421124211).

The spelling of 112200122000 in words is "one hundred twelve billion, two hundred million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 56100061 112200122 224400244 280500305 448800488 561000610 897600976 1122001220 1402501525 2244002440 2805003050 4488004880 5610006100 7012507625 11220012200 14025015250 22440024400 28050030500 56100061000 112200122000