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12022102010112 = 283291913282167
BaseRepresentation
bin1010111011110001110100…
…0111101010100100000000
31120120022010221220112211120
42232330131013222210000
53033432231103310422
641322513304512240
72350365616004535
oct256743507524400
946508127815746
1012022102010112
1139155aa195167
121421b6977b680
136928aa70a28c
142d7c31114d8c
1515cac849e45c
hexaef1d1ea900

12022102010112 has 144 divisors (see below), whose sum is σ = 33117064928640. Its totient is φ = 3867145977856.

The previous prime is 12022102010099. The next prime is 12022102010117. The reversal of 12022102010112 is 21101020122021.

It is a junction number, because it is equal to n+sod(n) for n = 12022102010091 and 12022102010100.

It is not an unprimeable number, because it can be changed into a prime (12022102010117) 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, 42465253 + ... + 42747419.

It is an arithmetic number, because the mean of its divisors is an integer number (229979617560).

Almost surely, 212022102010112 is an apocalyptic number.

12022102010112 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 12022102010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16558532464320).

12022102010112 is an abundant number, since it is smaller than the sum of its proper divisors (21094962918528).

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

12022102010112 is a wasteful number, since it uses less digits than its factorization.

12022102010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284128 (or 284114 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12022102010112 its reverse (21101020122021), we get a palindrome (33123122132133).

The spelling of 12022102010112 in words is "twelve trillion, twenty-two billion, one hundred two million, ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 696 768 928 1392 1856 1913 2784 3712 3826 5568 5739 7424 7652 11136 11478 15304 22272 22956 30608 45912 55477 61216 91824 110954 122432 166431 183648 221908 244864 282167 332862 367296 443816 489728 564334 665724 734592 846501 887632 1128668 1331448 1469184 1693002 1775264 2257336 2662896 3386004 3550528 4514672 5325792 6772008 7101056 8182843 9029344 10651584 13544016 14202112 16365686 18058688 21303168 24548529 27088032 32731372 36117376 42606336 49097058 54176064 65462744 72234752 98194116 108352128 130925488 196388232 216704256 261850976 392776464 523701952 539785471 785552928 1047403904 1079570942 1571105856 1619356413 2094807808 2159141884 3142211712 3238712826 4318283768 6284423424 6477425652 8636567536 12954851304 15653778659 17273135072 25909702608 31307557318 34546270144 46961335977 51819405216 62615114636 69092540288 93922671954 103638810432 125230229272 138185080576 187845343908 207277620864 250460458544 375690687816 414555241728 500920917088 751381375632 1001841834176 1502762751264 2003683668352 3005525502528 4007367336704 6011051005056 12022102010112