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12411312 = 243258569
BaseRepresentation
bin101111010110…
…000110110000
3212100120010020
4233112012300
511134130222
61122003440
7210331404
oct57260660
925316106
1012411312
117007891
1241a6580
132757294
141911104
15115265c
hexbd61b0

12411312 has 20 divisors (see below), whose sum is σ = 32062680. Its totient is φ = 4137088.

The previous prime is 12411307. The next prime is 12411319. The reversal of 12411312 is 21311421.

12411312 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×124113122 = 308081331122688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12411291 and 12411300.

It is not an unprimeable number, because it can be changed into a prime (12411319) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 129237 + ... + 129332.

It is an arithmetic number, because the mean of its divisors is an integer number (1603134).

Almost surely, 212411312 is an apocalyptic number.

12411312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12411312 is an abundant number, since it is smaller than the sum of its proper divisors (19651368).

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

12411312 is a wasteful number, since it uses less digits than its factorization.

12411312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258580 (or 258574 counting only the distinct ones).

The product of its digits is 48, while the sum is 15.

The square root of 12411312 is about 3522.9692022497. The cubic root of 12411312 is about 231.5292674785.

Adding to 12411312 its reverse (21311421), we get a palindrome (33722733).

The spelling of 12411312 in words is "twelve million, four hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 258569 517138 775707 1034276 1551414 2068552 3102828 4137104 6205656 12411312