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12387312 = 2432712289
BaseRepresentation
bin101111010000…
…001111110000
3212022100012100
4233100033300
511132343222
61121300400
7210201420
oct57201760
925270170
1012387312
116aa0853
124194700
132749392
141906480
15114a4ac
hexbd03f0

12387312 has 60 divisors (see below), whose sum is σ = 39622960. Its totient is φ = 3538944.

The previous prime is 12387293. The next prime is 12387313. The reversal of 12387312 is 21378321.

12387312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12387313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5137 + ... + 7152.

Almost surely, 212387312 is an apocalyptic number.

12387312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12387312 is an abundant number, since it is smaller than the sum of its proper divisors (27235648).

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

12387312 is a wasteful number, since it uses less digits than its factorization.

12387312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12310 (or 12301 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 12387312 is about 3519.5613363031. The cubic root of 12387312 is about 231.3799336027.

The spelling of 12387312 in words is "twelve million, three hundred eighty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 12289 24578 36867 49156 73734 86023 98312 110601 147468 172046 196624 221202 258069 294936 344092 442404 516138 589872 688184 774207 884808 1032276 1376368 1548414 1769616 2064552 3096828 4129104 6193656 12387312