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12116366208 = 27341768743
BaseRepresentation
bin10110100100011000…
…10001001110000000
31011021102002011210000
423102030101032000
5144303242204313
65322143440000
7606153261552
oct132214211600
934242064700
1012116366208
1151584112a1
1224218b6000
1311b12b877b
1482d26d4d2
154adaa9673
hex2d2311380

12116366208 has 160 divisors (see below), whose sum is σ = 38179730160. Its totient is φ = 3801157632.

The previous prime is 12116366189. The next prime is 12116366231. The reversal of 12116366208 is 80266361121.

It is a happy number.

12116366208 is a `hidden beast` number, since 1 + 2 + 11 + 636 + 6 + 2 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 141885 + ... + 210627.

Almost surely, 212116366208 is an apocalyptic number.

12116366208 is a gapful number since it is divisible by the number (18) 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 12116366208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19089865080).

12116366208 is an abundant number, since it is smaller than the sum of its proper divisors (26063363952).

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

12116366208 is an equidigital number, since it uses as much as digits as its factorization.

12116366208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68786 (or 68765 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 12116366208 in words is "twelve billion, one hundred sixteen million, three hundred sixty-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 128 136 144 153 162 192 204 216 272 288 306 324 384 408 432 459 544 576 612 648 816 864 918 1088 1152 1224 1296 1377 1632 1728 1836 2176 2448 2592 2754 3264 3456 3672 4896 5184 5508 6528 7344 9792 10368 11016 14688 19584 22032 29376 44064 58752 68743 88128 137486 176256 206229 274972 412458 549944 618687 824916 1099888 1168631 1237374 1649832 1856061 2199776 2337262 2474748 3299664 3505893 3712122 4399552 4674524 4949496 5568183 6599328 7011786 7424244 8799104 9349048 9898992 10517679 11136366 13198656 14023572 14848488 18698096 19797984 21035358 22272732 26397312 28047144 29696976 31553037 37396192 39595968 42070716 44545464 56094288 59393952 63106074 74792384 79191936 84141432 89090928 94659111 112188576 118787904 126212148 149584768 168282864 178181856 189318222 224377152 237575808 252424296 336565728 356363712 378636444 448754304 504848592 673131456 712727424 757272888 1009697184 1346262912 1514545776 2019394368 3029091552 4038788736 6058183104 12116366208