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120045450351200 = 25521114879916831
BaseRepresentation
bin11011010010111001000010…
…011011001101001001100000
3120202001020021211122002201012
4123102321002123031021200
5111213311040242214300
61103152041335400052
734166666111613533
oct3322710233151140
9522036254562635
10120045450351200
1135282a98165830
1211569742523028
1351ca31172b5ca
14219033344ca1a
15dd29ce8a1435
hex6d2e426cd260

120045450351200 has 144 divisors (see below), whose sum is σ = 319724696309760. Its totient is φ = 43649909568000.

The previous prime is 120045450351173. The next prime is 120045450351241. The reversal of 120045450351200 is 2153054540021.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130476785 + ... + 131393615.

It is an arithmetic number, because the mean of its divisors is an integer number (2220310391040).

Almost surely, 2120045450351200 is an apocalyptic number.

120045450351200 is a gapful number since it is divisible by the number (10) 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 120045450351200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159862348154880).

120045450351200 is an abundant number, since it is smaller than the sum of its proper divisors (199679245958560).

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

120045450351200 is a wasteful number, since it uses less digits than its factorization.

120045450351200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931741 (or 931728 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The spelling of 120045450351200 in words is "one hundred twenty trillion, forty-five billion, four hundred fifty million, three hundred fifty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1760 2200 4400 8800 14879 29758 59516 74395 119032 148790 163669 238064 297580 327338 371975 476128 595160 654676 743950 818345 916831 1190320 1309352 1487900 1636690 1833662 2380640 2618704 2975800 3273380 3667324 4091725 4584155 5237408 5951600 6546760 7334648 8183450 9168310 10085141 11903200 13093520 14669296 16366900 18336620 20170282 22920775 26187040 29338592 32733800 36673240 40340564 45841550 50425705 65467600 73346480 80681128 91683100 100851410 130935200 146692960 161362256 183366200 201702820 252128525 322724512 366732400 403405640 504257050 733464800 806811280 1008514100 1613622560 2017028200 4034056400 8068112800 13641528449 27283056898 54566113796 68207642245 109132227592 136415284490 150056812939 218264455184 272830568980 300113625878 341038211225 436528910368 545661137960 600227251756 682076422450 750284064695 1091322275920 1200454503512 1364152844900 1500568129390 2182644551840 2400909007024 2728305689800 3001136258780 3751420323475 4801818014048 5456611379600 6002272517560 7502840646950 10913222759200 12004545035120 15005681293900 24009090070240 30011362587800 60022725175600 120045450351200