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12106272 = 253126107
BaseRepresentation
bin101110001011…
…101000100000
3211210001200110
4232023220200
511044400042
61111251320
7204621153
oct56135040
924701613
1012106272
116919692
124079b40
13267b499
141871c9a
1510e209c
hexb8ba20

12106272 has 24 divisors (see below), whose sum is σ = 31779216. Its totient is φ = 4035392.

The previous prime is 12106271. The next prime is 12106277. The reversal of 12106272 is 27260121.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (12106271) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62958 + ... + 63149.

It is an arithmetic number, because the mean of its divisors is an integer number (1324134).

Almost surely, 212106272 is an apocalyptic number.

12106272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12106272 is an abundant number, since it is smaller than the sum of its proper divisors (19672944).

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

12106272 is a wasteful number, since it uses less digits than its factorization.

12106272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126120 (or 126112 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 12106272 is about 3479.4068460012. The cubic root of 12106272 is about 229.6167024801.

Adding to 12106272 its reverse (27260121), we get a palindrome (39366393).

The spelling of 12106272 in words is "twelve million, one hundred six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 126107 252214 378321 504428 756642 1008856 1513284 2017712 3026568 4035424 6053136 12106272