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120612758323456 = 2872980572
BaseRepresentation
bin11011011011001001011000…
…100111011000000100000000
3120211001110121111200002000001
4123123021120213120010000
5111302104412112322311
61104304423010205344
734255661406042400
oct3333113047300400
9524043544602001
10120612758323456
1135481646783a83
121163b688883854
13523b97136bba9
1421ad98d92c800
15de26345d74c1
hex6db2589d8100

120612758323456 has 81 divisors (see below), whose sum is σ = 280064065612989. Its totient is φ = 51690654984192.

The previous prime is 120612758323403. The next prime is 120612758323487. The reversal of 120612758323456 is 654323857216021.

The square root of 120612758323456 is 10982384.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 16351994937600 + 104260763385856 = 4043760^2 + 10210816^2 .

It is a junction number, because it is equal to n+sod(n) for n = 120612758323397 and 120612758323406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1229977980 + ... + 1230076036.

Almost surely, 2120612758323456 is an apocalyptic number.

120612758323456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

120612758323456 is the 10982384-th square number.

It is an amenable number.

120612758323456 is an abundant number, since it is smaller than the sum of its proper divisors (159451307289533).

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

120612758323456 is an frugal number, since it uses more digits than its factorization.

120612758323456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196144 (or 98066 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 55.

The spelling of 120612758323456 in words is "one hundred twenty trillion, six hundred twelve billion, seven hundred fifty-eight million, three hundred twenty-three thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1792 3136 6272 12544 98057 196114 392228 686399 784456 1372798 1568912 2745596 3137824 4804793 5491192 6275648 9609586 10982384 12551296 19219172 21964768 25102592 38438344 43929536 76876688 87859072 153753376 175718144 307506752 615013504 1230027008 9615175249 19230350498 38460700996 67306226743 76921401992 134612453486 153842803984 269224906972 307685607968 471143587201 538449813944 615371215936 942287174402 1076899627888 1230742431872 1884574348804 2153799255776 2461484863744 3769148697608 4307598511552 7538297395216 8615197023104 15076594790432 17230394046208 30153189580864 60306379161728 120612758323456