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12152112 = 243759613
BaseRepresentation
bin101110010110…
…110100110000
3211212101120020
4232112310300
511102331422
61112243440
7205201620
oct56266460
924771506
1012152112
116950075
1240a0580
1326962cb
141884880
15110095c
hexb96d30

12152112 has 80 divisors (see below), whose sum is σ = 36545280. Its totient is φ = 3407616.

The previous prime is 12152099. The next prime is 12152137. The reversal of 12152112 is 21125121.

12152112 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 junction number, because it is equal to n+sod(n) for n = 12152091 and 12152100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19518 + ... + 20130.

It is an arithmetic number, because the mean of its divisors is an integer number (456816).

Almost surely, 212152112 is an apocalyptic number.

12152112 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 12152112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18272640).

12152112 is an abundant number, since it is smaller than the sum of its proper divisors (24393168).

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

12152112 is a wasteful number, since it uses less digits than its factorization.

12152112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 684 counting only the distinct ones).

The product of its digits is 40, while the sum is 15.

The square root of 12152112 is about 3485.9879517864. The cubic root of 12152112 is about 229.9061494856.

Adding to 12152112 its reverse (21125121), we get a palindrome (33277233).

The spelling of 12152112 in words is "twelve million, one hundred fifty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 59 84 112 118 168 177 236 336 354 413 472 613 708 826 944 1226 1239 1416 1652 1839 2452 2478 2832 3304 3678 4291 4904 4956 6608 7356 8582 9808 9912 12873 14712 17164 19824 25746 29424 34328 36167 51492 68656 72334 102984 108501 144668 205968 217002 253169 289336 434004 506338 578672 759507 868008 1012676 1519014 1736016 2025352 3038028 4050704 6076056 12152112