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12240312 = 233772859
BaseRepresentation
bin101110101100…
…010110111000
3212000212112220
4232230112320
511113142222
61114204040
7206020020
oct56542670
925025486
1012240312
116a00367
124123620
1326c74b6
1418a8a80
15111bb5c
hexbac5b8

12240312 has 32 divisors (see below), whose sum is σ = 34972800. Its totient is φ = 3497184.

The previous prime is 12240311. The next prime is 12240341. The reversal of 12240312 is 21304221.

It is a junction number, because it is equal to n+sod(n) for n = 12240291 and 12240300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12240311) 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, 36262 + ... + 36597.

It is an arithmetic number, because the mean of its divisors is an integer number (1092900).

Almost surely, 212240312 is an apocalyptic number.

12240312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12240312 is an abundant number, since it is smaller than the sum of its proper divisors (22732488).

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

12240312 is a wasteful number, since it uses less digits than its factorization.

12240312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72875 (or 72871 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 12240312 is about 3498.6157262552. The cubic root of 12240312 is about 230.4610286345.

Adding to 12240312 its reverse (21304221), we get a palindrome (33544533).

The spelling of 12240312 in words is "twelve million, two hundred forty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 72859 145718 218577 291436 437154 510013 582872 874308 1020026 1530039 1748616 2040052 3060078 4080104 6120156 12240312