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12116028672 = 283211478063
BaseRepresentation
bin10110100100010101…
…11110110100000000
31011021101110000202200
423102022332310000
5144303200404142
65322132313200
7606150354516
oct132212766400
934241400680
1012116028672
115158200740
122421772800
1311b11cac47
1482d1c24b6
154ada3e64c
hex2d22bed00

12116028672 has 108 divisors (see below), whose sum is σ = 38109349824. Its totient is φ = 3671516160.

The previous prime is 12116028671. The next prime is 12116028679. The reversal of 12116028672 is 27682061121.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12116028671) 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, 213688 + ... + 264375.

Almost surely, 212116028672 is an apocalyptic number.

12116028672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12116028672 is an abundant number, since it is smaller than the sum of its proper divisors (25993321152).

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

12116028672 is a wasteful number, since it uses less digits than its factorization.

12116028672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478096 (or 478079 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 12116028672 its reverse (27682061121), we get a palindrome (39798089793).

The spelling of 12116028672 in words is "twelve billion, one hundred sixteen million, twenty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 528 576 704 768 792 1056 1152 1408 1584 2112 2304 2816 3168 4224 6336 8448 12672 25344 478063 956126 1434189 1912252 2868378 3824504 4302567 5258693 5736756 7649008 8605134 10517386 11473512 15298016 15776079 17210268 21034772 22947024 30596032 31552158 34420536 42069544 45894048 47328237 61192064 63104316 68841072 84139088 91788096 94656474 122384128 126208632 137682144 168278176 183576192 189312948 252417264 275364288 336556352 367152384 378625896 504834528 550728576 673112704 757251792 1009669056 1101457152 1346225408 1514503584 2019338112 3029007168 4038676224 6058014336 12116028672