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120053051200 = 2652411830077
BaseRepresentation
bin110111111001110111…
…0000010111101000000
3102110212200222220001201
41233303232002331000
53431332040114300
6131052425310544
711450012045425
oct1576356027500
9373780886051
10120053051200
1146a068aa295
121b325635454
13b4231a0504
145b4c3d5d4c
1531c998466a
hex1bf3b82f40

120053051200 has 84 divisors (see below), whose sum is σ = 302610717612. Its totient is φ = 46849945600.

The previous prime is 120053051197. The next prime is 120053051203. The reversal of 120053051200 is 2150350021.

It is an interprime number because it is at equal distance from previous prime (120053051197) and next prime (120053051203).

It can be written as a sum of positive squares in 6 ways, for example, as 43377225984 + 76675825216 = 208272^2 + 276904^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120053051203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 849439 + ... + 980638.

It is an arithmetic number, because the mean of its divisors is an integer number (3602508543).

Almost surely, 2120053051200 is an apocalyptic number.

120053051200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120053051200 is an abundant number, since it is smaller than the sum of its proper divisors (182557666412).

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

120053051200 is a wasteful number, since it uses less digits than its factorization.

120053051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1830140 (or 1830125 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The spelling of 120053051200 in words is "one hundred twenty billion, fifty-three million, fifty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 64 80 82 100 160 164 200 205 320 328 400 410 656 800 820 1025 1312 1600 1640 2050 2624 3280 4100 6560 8200 13120 16400 32800 65600 1830077 3660154 7320308 9150385 14640616 18300770 29281232 36601540 45751925 58562464 73203080 75033157 91503850 117124928 146406160 150066314 183007700 292812320 300132628 366015400 375165785 585624640 600265256 732030800 750331570 1200530512 1464061600 1500663140 1875828925 2401061024 2928123200 3001326280 3751657850 4802122048 6002652560 7503315700 12005305120 15006631400 24010610240 30013262800 60026525600 120053051200