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12242000 = 24536121
BaseRepresentation
bin101110101100…
…110001010000
3212000221212102
4232230301100
511113221000
61114215532
7206024651
oct56546120
925027772
1012242000
116a01661
1241245a8
1326c81b4
1418a9528
15111c3d5
hexbacc50

12242000 has 40 divisors (see below), whose sum is σ = 29605992. Its totient is φ = 4896000.

The previous prime is 12241997. The next prime is 12242011. The reversal of 12242000 is 24221.

It can be written as a sum of positive squares in 4 ways, for example, as 2155024 + 10086976 = 1468^2 + 3176^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1061 + ... + 5060.

Almost surely, 212242000 is an apocalyptic number.

12242000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12242000 is an abundant number, since it is smaller than the sum of its proper divisors (17363992).

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

12242000 is an equidigital number, since it uses as much as digits as its factorization.

12242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6144 (or 6128 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 12242000 is about 3498.8569562073. The cubic root of 12242000 is about 230.4716220556.

Adding to 12242000 its reverse (24221), we get a palindrome (12266221).

The spelling of 12242000 in words is "twelve million, two hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 6121 12242 24484 30605 48968 61210 97936 122420 153025 244840 306050 489680 612100 765125 1224200 1530250 2448400 3060500 6121000 12242000