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120123530200 = 23524161240151
BaseRepresentation
bin110111111011111101…
…0111001101111011000
3102111001121121121002001
41233313322321233120
53432003110431300
6131103424050344
711451526105522
oct1576772715730
9374047547061
10120123530200
1146a426681a3
121b3451639b4
13b43497906b
145b57900a12
1531d0c5716a
hex1bf7eb9bd8

120123530200 has 96 divisors (see below), whose sum is σ = 290790450720. Its totient is φ = 46108800000.

The previous prime is 120123530171. The next prime is 120123530249. The reversal of 120123530200 is 2035321021.

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, 380125 + ... + 620275.

It is an arithmetic number, because the mean of its divisors is an integer number (3029067195).

Almost surely, 2120123530200 is an apocalyptic number.

120123530200 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 120123530200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145395225360).

120123530200 is an abundant number, since it is smaller than the sum of its proper divisors (170666920520).

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

120123530200 is a wasteful number, since it uses less digits than its factorization.

120123530200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240269 (or 240260 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 120123530200 its reverse (2035321021), we get a palindrome (122158851221).

The spelling of 120123530200 in words is "one hundred twenty billion, one hundred twenty-three million, five hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 61 82 100 122 164 200 205 244 305 328 410 488 610 820 1025 1220 1525 1640 2050 2440 2501 3050 4100 5002 6100 8200 10004 12200 12505 20008 25010 50020 62525 100040 125050 240151 250100 480302 500200 960604 1200755 1921208 2401510 4803020 6003775 9606040 9846191 12007550 14649211 19692382 24015100 29298422 39384764 48030200 49230955 58596844 73246055 78769528 98461910 117193688 146492110 196923820 246154775 292984220 366230275 393847640 492309550 585968440 600617651 732460550 984619100 1201235302 1464921100 1969238200 2402470604 2929842200 3003088255 4804941208 6006176510 12012353020 15015441275 24024706040 30030882550 60061765100 120123530200