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12241005 = 357731597
BaseRepresentation
bin101110101100…
…100001101101
3212000220111120
4232230201231
511113203010
61114211153
7206022030
oct56544155
925026446
1012241005
116a00937
124123ab9
1326c78ca
1418a9017
15111be70
hexbac86d

12241005 has 32 divisors (see below), whose sum is σ = 22704384. Its totient is φ = 5515776.

The previous prime is 12240983. The next prime is 12241013. The reversal of 12241005 is 50014221.

12241005 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12241005 - 25 = 12240973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6867 + ... + 8463.

It is an arithmetic number, because the mean of its divisors is an integer number (709512).

Almost surely, 212241005 is an apocalyptic number.

12241005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12241005 is a deficient number, since it is larger than the sum of its proper divisors (10463379).

12241005 is a wasteful number, since it uses less digits than its factorization.

12241005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685.

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 12241005 is about 3498.7147640241. The cubic root of 12241005 is about 230.4653778287.

Adding to 12241005 its reverse (50014221), we get a palindrome (62255226).

The spelling of 12241005 in words is "twelve million, two hundred forty-one thousand, five".

Divisors: 1 3 5 7 15 21 35 73 105 219 365 511 1095 1533 1597 2555 4791 7665 7985 11179 23955 33537 55895 116581 167685 349743 582905 816067 1748715 2448201 4080335 12241005