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120131232200 = 23527222735393
BaseRepresentation
bin110111111100001100…
…0010010000111001000
3102111002011002220020022
41233320120102013020
53432012043412300
6131104301120012
711451651424400
oct1577030220710
9374064086208
10120131232200
1146a46a48891
121b347859008
13b436444965
145b58947800
1531d1779285
hex1bf86121c8

120131232200 has 144 divisors (see below), whose sum is σ = 325109163780. Its totient is φ = 41162096640.

The previous prime is 120131232119. The next prime is 120131232233. The reversal of 120131232200 is 2232131021.

It can be written as a sum of positive squares in 6 ways, for example, as 100188708676 + 19942523524 = 316526^2 + 141218^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22272704 + ... + 22278096.

Almost surely, 2120131232200 is an apocalyptic number.

120131232200 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 120131232200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162554581890).

120131232200 is an abundant number, since it is smaller than the sum of its proper divisors (204977931580).

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

120131232200 is a wasteful number, since it uses less digits than its factorization.

120131232200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7696 (or 7680 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 120131232200 its reverse (2232131021), we get a palindrome (122363363221).

The spelling of 120131232200 in words is "one hundred twenty billion, one hundred thirty-one million, two hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2273 2450 4546 4900 5393 9092 9800 10786 11365 15911 18184 21572 22730 26965 31822 37751 43144 45460 53930 56825 63644 75502 79555 90920 107860 111377 113650 127288 134825 151004 159110 188755 215720 222754 227300 264257 269650 302008 318220 377510 397775 445508 454600 528514 539300 556885 636440 755020 795550 891016 943775 1057028 1078600 1113770 1321285 1510040 1591100 1887550 2114056 2227540 2642570 2784425 3182200 3775100 4455080 5285140 5568850 6606425 7550200 10570280 11137700 12258289 13212850 22275400 24516578 26425700 49033156 52851400 61291445 85808023 98066312 122582890 171616046 245165780 306457225 343232092 429040115 490331560 600656161 612914450 686464184 858080230 1201312322 1225828900 1716160460 2145200575 2402624644 2451657800 3003280805 3432320920 4290401150 4805249288 6006561610 8580802300 12013123220 15016404025 17161604600 24026246440 30032808050 60065616100 120131232200