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12206112 = 253532399
BaseRepresentation
bin101110100100…
…000000100000
3211222010122020
4232210000200
511111043422
61113341440
7205515222
oct56440040
924863566
1012206112
1169876a6
124107880
1326b4a69
14189a412
15111195c
hexba4020

12206112 has 48 divisors (see below), whose sum is σ = 32659200. Its totient is φ = 3990272.

The previous prime is 12206101. The next prime is 12206143. The reversal of 12206112 is 21160221.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 12206091 and 12206100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3889 + ... + 6287.

It is an arithmetic number, because the mean of its divisors is an integer number (680400).

Almost surely, 212206112 is an apocalyptic number.

12206112 is a gapful number since it is divisible by the number (12) 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 12206112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329600).

12206112 is an abundant number, since it is smaller than the sum of its proper divisors (20453088).

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

12206112 is a wasteful number, since it uses less digits than its factorization.

12206112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465 (or 2457 counting only the distinct ones).

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

The square root of 12206112 is about 3493.7246600154. The cubic root of 12206112 is about 230.2461888148.

Adding to 12206112 its reverse (21160221), we get a palindrome (33366333).

The spelling of 12206112 in words is "twelve million, two hundred six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1696 2399 2544 4798 5088 7197 9596 14394 19192 28788 38384 57576 76768 115152 127147 230304 254294 381441 508588 762882 1017176 1525764 2034352 3051528 4068704 6103056 12206112