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12411112 = 23734523
BaseRepresentation
bin101111010110…
…000011101000
3212100112211211
4233112003220
511134123422
61122002504
7210331000
oct57260350
925315754
1012411112
11700771a
1241a6434
13275716c
141911000
151152577
hexbd60e8

12411112 has 32 divisors (see below), whose sum is σ = 27144000. Its totient is φ = 5317872.

The previous prime is 12411107. The next prime is 12411131. The reversal of 12411112 is 21111421.

12411112 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 junction number, because it is equal to n+sod(n) for n = 12411092 and 12411101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 483 + ... + 5005.

It is an arithmetic number, because the mean of its divisors is an integer number (848250).

Almost surely, 212411112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12411112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13572000).

12411112 is an abundant number, since it is smaller than the sum of its proper divisors (14732888).

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

12411112 is an equidigital number, since it uses as much as digits as its factorization.

12411112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4550 (or 4532 counting only the distinct ones).

The product of its digits is 16, while the sum is 13.

The square root of 12411112 is about 3522.9408169880. The cubic root of 12411112 is about 231.5280238254.

Adding to 12411112 its reverse (21111421), we get a palindrome (33522533).

It can be divided in two parts, 124 and 11112, that added together give a square (11236 = 1062).

The spelling of 12411112 in words is "twelve million, four hundred eleven thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 343 392 686 1372 2744 4523 9046 18092 31661 36184 63322 126644 221627 253288 443254 886508 1551389 1773016 3102778 6205556 12411112