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12380112 = 2432149577
BaseRepresentation
bin101111001110…
…011111010000
3212021222022200
4233032133100
511132130422
61121203200
7210141423
oct57163720
925258280
1012380112
116a963a8
124190500
132746014
1419039ba
1511482ac
hexbce7d0

12380112 has 60 divisors (see below), whose sum is σ = 34940100. Its totient is φ = 4091904.

The previous prime is 12380107. The next prime is 12380113. The reversal of 12380112 is 21108321.

It can be written as a sum of positive squares in 2 ways, for example, as 7817616 + 4562496 = 2796^2 + 2136^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12380113) 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, 21168 + ... + 21744.

It is an arithmetic number, because the mean of its divisors is an integer number (582335).

Almost surely, 212380112 is an apocalyptic number.

12380112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12380112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17470050).

12380112 is an abundant number, since it is smaller than the sum of its proper divisors (22559988).

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

12380112 is a wasteful number, since it uses less digits than its factorization.

12380112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 12380112 is about 3518.5383328877. The cubic root of 12380112 is about 231.3350958312.

Adding to 12380112 its reverse (21108321), we get a palindrome (33488433).

The spelling of 12380112 in words is "twelve million, three hundred eighty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 149 298 447 577 596 894 1154 1192 1341 1731 1788 2308 2384 2682 3462 3576 4616 5193 5364 6924 7152 9232 10386 10728 13848 20772 21456 27696 41544 83088 85973 171946 257919 343892 515838 687784 773757 1031676 1375568 1547514 2063352 3095028 4126704 6190056 12380112