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12016123042112 = 267149306758693
BaseRepresentation
bin1010111011011011100010…
…1111101101100101000000
31120112201201021102111122022
42232312320233231211000
53033333004444321422
641320044122501012
72350064505424130
oct256667057554500
946481637374568
1012016123042112
113913011219aa2
12142097b364768
13692166ac65a7
142d782501cac0
1515c87861d342
hexaedb8bed940

12016123042112 has 112 divisors (see below), whose sum is σ = 27443154460800. Its totient is φ = 5113449879552.

The previous prime is 12016123042019. The next prime is 12016123042117. The reversal of 12016123042112 is 21124032161021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12016123042117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204699038 + ... + 204757730.

Almost surely, 212016123042112 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 12016123042112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13721577230400).

12016123042112 is an abundant number, since it is smaller than the sum of its proper divisors (15427031418688).

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

12016123042112 is a wasteful number, since it uses less digits than its factorization.

12016123042112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61928 (or 61918 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 12016123042112 in words is "twelve trillion, sixteen billion, one hundred twenty-three million, forty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 149 224 298 448 596 1043 1192 2086 2384 3067 4172 4768 6134 8344 9536 12268 16688 21469 24536 33376 42938 49072 58693 66752 85876 98144 117386 171752 196288 234772 343504 410851 456983 469544 687008 821702 913966 939088 1374016 1643404 1827932 1878176 3198881 3286808 3655864 3756352 6397762 6573616 7311728 8745257 12795524 13147232 14623456 17490514 25591048 26294464 29246912 34981028 51182096 61216799 69962056 102364192 122433598 139924112 180011431 204728384 244867196 279848224 360022862 489734392 559696448 720045724 979468784 1260080017 1440091448 1958937568 2520160034 2880182896 3917875136 5040320068 5760365792 10080640136 11520731584 20161280272 26821703219 40322560544 53643406438 80645121088 107286812876 187751922533 214573625752 375503845066 429147251504 751007690132 858294503008 1502015380264 1716589006016 3004030760528 6008061521056 12016123042112