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120144002112 = 263389781211
BaseRepresentation
bin110111111100100100…
…0111111110001000000
3102111010001010200021000
41233321020333301000
53432023331031422
6131105434532000
711452165111431
oct1577110776100
9374101120230
10120144002112
1146a53180032
121b34bb97000
13b438c96214
145b5a50d488
1531d294ccac
hex1bf923fc40

120144002112 has 112 divisors (see below), whose sum is σ = 357170126400. Its totient is φ = 39597972480.

The previous prime is 120144001987. The next prime is 120144002149. The reversal of 120144002112 is 211200441021.

120144002112 is a `hidden beast` number, since 1 + 201 + 440 + 0 + 21 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236814 + ... + 544397.

Almost surely, 2120144002112 is an apocalyptic number.

120144002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120144002112 is an abundant number, since it is smaller than the sum of its proper divisors (237026124288).

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

120144002112 is an equidigital number, since it uses as much as digits as its factorization.

120144002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781321 (or 781305 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120144002112 its reverse (211200441021), we get a palindrome (331344443133).

The spelling of 120144002112 in words is "one hundred twenty billion, one hundred forty-four million, two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 89 96 108 144 178 192 216 267 288 356 432 534 576 712 801 864 1068 1424 1602 1728 2136 2403 2848 3204 4272 4806 5696 6408 8544 9612 12816 17088 19224 25632 38448 51264 76896 153792 781211 1562422 2343633 3124844 4687266 6249688 7030899 9374532 12499376 14061798 18749064 21092697 24998752 28123596 37498128 42185394 49997504 56247192 69527779 74996256 84370788 112494384 139055558 149992512 168741576 208583337 224988768 278111116 337483152 417166674 449977536 556222232 625750011 674966304 834333348 1112444464 1251500022 1349932608 1668666696 1877250033 2224888928 2503000044 3337333392 3754500066 4449777856 5006000088 6674666784 7509000132 10012000176 13349333568 15018000264 20024000352 30036000528 40048000704 60072001056 120144002112