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120101311200 = 25352133849401
BaseRepresentation
bin110111111011010011…
…0001001001011100000
3102111000001210202100010
41233312212021023200
53431431413424300
6131101311524520
711451136205223
oct1576646111340
9374001722303
10120101311200
1146a31071792
121b339829740
13b430199920
145b549995ba
1531cdd18a50
hex1bf69892e0

120101311200 has 144 divisors (see below), whose sum is σ = 421001397936. Its totient is φ = 29563392000.

The previous prime is 120101311177. The next prime is 120101311219. The reversal of 120101311200 is 2113101021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1893501 + ... + 1955900.

It is an arithmetic number, because the mean of its divisors is an integer number (2923620819).

Almost surely, 2120101311200 is an apocalyptic number.

120101311200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120101311200 is an abundant number, since it is smaller than the sum of its proper divisors (300900086736).

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

120101311200 is a wasteful number, since it uses less digits than its factorization.

120101311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3849437 (or 3849424 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 120101311200 its reverse (2113101021), we get a palindrome (122214412221).

The spelling of 120101311200 in words is "one hundred twenty billion, one hundred one million, three hundred eleven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 65 75 78 80 96 100 104 120 130 150 156 160 195 200 208 240 260 300 312 325 390 400 416 480 520 600 624 650 780 800 975 1040 1200 1248 1300 1560 1950 2080 2400 2600 3120 3900 5200 6240 7800 10400 15600 31200 3849401 7698802 11548203 15397604 19247005 23096406 30795208 38494010 46192812 50042213 57741015 61590416 76988020 92385624 96235025 100084426 115482030 123180832 150126639 153976040 184771248 192470050 200168852 230964060 250211065 288705075 300253278 307952080 369542496 384940100 400337704 461928120 500422130 577410150 600506556 615904160 750633195 769880200 800675408 923856240 1000844260 1154820300 1201013112 1251055325 1501266390 1539760400 1601350816 1847712480 2001688520 2309640600 2402026224 2502110650 3002532780 3079520800 3753165975 4003377040 4619281200 4804052448 5004221300 6005065560 7506331950 8006754080 9238562400 10008442600 12010131120 15012663900 20016885200 24020262240 30025327800 40033770400 60050655600 120101311200