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12115968 = 21331729
BaseRepresentation
bin101110001110…
…000000000000
3211210112222120
4232032000000
511100202333
61111404240
7204661344
oct56160000
924715876
1012115968
1169259a7
124083680
132682a17
141875624
1510e4db3
hexb8e000

12115968 has 112 divisors (see below), whose sum is σ = 35387280. Its totient is φ = 3670016.

The previous prime is 12115949. The next prime is 12115969. The reversal of 12115968 is 86951121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12115969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 417778 + ... + 417806.

Almost surely, 212115968 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 12115968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17693640).

12115968 is an abundant number, since it is smaller than the sum of its proper divisors (23271312).

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

12115968 is an equidigital number, since it uses as much as digits as its factorization.

12115968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 51 counting only the distinct ones).

The product of its digits is 4320, while the sum is 33.

The square root of 12115968 is about 3480.7999080671. The cubic root of 12115968 is about 229.6779866762.

The spelling of 12115968 in words is "twelve million, one hundred fifteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 32 34 48 51 58 64 68 87 96 102 116 128 136 174 192 204 232 256 272 348 384 408 464 493 512 544 696 768 816 928 986 1024 1088 1392 1479 1536 1632 1856 1972 2048 2176 2784 2958 3072 3264 3712 3944 4096 4352 5568 5916 6144 6528 7424 7888 8192 8704 11136 11832 12288 13056 14848 15776 17408 22272 23664 24576 26112 29696 31552 34816 44544 47328 52224 59392 63104 69632 89088 94656 104448 118784 126208 139264 178176 189312 208896 237568 252416 356352 378624 417792 504832 712704 757248 1009664 1514496 2019328 3028992 4038656 6057984 12115968