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12107712 = 263193319
BaseRepresentation
bin101110001011…
…111111000000
3211210010122210
4232023333000
511044421322
61111302120
7204625311
oct56137700
924703583
1012107712
11691a781
12407a940
13267c036
141872608
1510e270c
hexb8bfc0

12107712 has 56 divisors (see below), whose sum is σ = 33731200. Its totient is φ = 3822336.

The previous prime is 12107687. The next prime is 12107737. The reversal of 12107712 is 21770121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12107687) and next prime (12107737).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1989 + ... + 5307.

Almost surely, 212107712 is an apocalyptic number.

12107712 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 12107712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16865600).

12107712 is an abundant number, since it is smaller than the sum of its proper divisors (21623488).

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

12107712 is a wasteful number, since it uses less digits than its factorization.

12107712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3353 (or 3343 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 21.

The square root of 12107712 is about 3479.6137716706. The cubic root of 12107712 is about 229.6258061618.

Adding to 12107712 its reverse (21770121), we get a palindrome (33877833).

The spelling of 12107712 in words is "twelve million, one hundred seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 3319 3648 6638 9957 13276 19914 26552 39828 53104 63061 79656 106208 126122 159312 189183 212416 252244 318624 378366 504488 637248 756732 1008976 1513464 2017952 3026928 4035904 6053856 12107712