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12321312 = 253128347
BaseRepresentation
bin101111000000…
…001000100000
3212011222122220
4233000020200
511123240222
61120031040
7206505123
oct57001040
925158586
1012321312
116a56203
124162480
132725323
1418ca3ba
151135b5c
hexbc0220

12321312 has 24 divisors (see below), whose sum is σ = 32343696. Its totient is φ = 4107072.

The previous prime is 12321301. The next prime is 12321319. The reversal of 12321312 is 21312321.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12321291 and 12321300.

It is not an unprimeable number, because it can be changed into a prime (12321319) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 64078 + ... + 64269.

It is an arithmetic number, because the mean of its divisors is an integer number (1347654).

Almost surely, 212321312 is an apocalyptic number.

12321312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12321312 is an abundant number, since it is smaller than the sum of its proper divisors (20022384).

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

12321312 is a wasteful number, since it uses less digits than its factorization.

12321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128360 (or 128352 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 12321312 is about 3510.1726453267. The cubic root of 12321312 is about 230.9682683499.

Adding to 12321312 its reverse (21312321), we get a palindrome (33633633).

The spelling of 12321312 in words is "twelve million, three hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 128347 256694 385041 513388 770082 1026776 1540164 2053552 3080328 4107104 6160656 12321312