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12200123 = 135317707
BaseRepresentation
bin101110100010…
…100010111011
3211221211102102
4232202202323
511110400443
61113254015
7205461605
oct56424273
924854372
1012200123
116983151
12410430b
1326b2110
141898175
15110ecb8
hexba28bb

12200123 has 8 divisors (see below), whose sum is σ = 13387248. Its totient is φ = 11048544.

The previous prime is 12200117. The next prime is 12200129. The reversal of 12200123 is 32100221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12200117) and next prime (12200129).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 12200123 - 26 = 12200059 is a prime.

It is a Duffinian number.

12200123 is a modest number, since divided by 123 gives 122 as remainder.

It is not an unprimeable number, because it can be changed into a prime (12200129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8165 + ... + 9542.

It is an arithmetic number, because the mean of its divisors is an integer number (1673406).

Almost surely, 212200123 is an apocalyptic number.

12200123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12200123 is a deficient number, since it is larger than the sum of its proper divisors (1187125).

12200123 is a wasteful number, since it uses less digits than its factorization.

12200123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17773.

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 12200123 is about 3492.8674466690. The cubic root of 12200123 is about 230.2085254427.

Adding to 12200123 its reverse (32100221), we get a palindrome (44300344).

The spelling of 12200123 in words is "twelve million, two hundred thousand, one hundred twenty-three".

Divisors: 1 13 53 689 17707 230191 938471 12200123