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1203120120320 = 2951493154153
BaseRepresentation
bin10001100000011111100…
…011000010001000000000
311021000110111202122102022
4101200133203002020000
5124202442222322240
62320412235341012
7152631303200516
oct21403743021000
94230414678368
101203120120320
11424270a40728
1217520a5b1768
13895b8b38b51
1442334a7c4b6
1521468aaa9b5
hex1181f8c2200

1203120120320 has 80 divisors (see below), whose sum is σ = 2904029587800. Its totient is φ = 478018043904.

The previous prime is 1203120120287. The next prime is 1203120120331. The reversal of 1203120120320 is 230210213021.

It can be written as a sum of positive squares in 4 ways, for example, as 320392225024 + 882727895296 = 566032^2 + 939536^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×12031201203202 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1195637 + ... + 1958516.

Almost surely, 21203120120320 is an apocalyptic number.

1203120120320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1203120120320 is an abundant number, since it is smaller than the sum of its proper divisors (1700909467480).

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

1203120120320 is an equidigital number, since it uses as much as digits as its factorization.

1203120120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3154325 (or 3154309 counting only the distinct ones).

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

Adding to 1203120120320 its reverse (230210213021), we get a palindrome (1433330333341).

The spelling of 1203120120320 in words is "one trillion, two hundred three billion, one hundred twenty million, one hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 149 160 256 298 320 512 596 640 745 1192 1280 1490 2384 2560 2980 4768 5960 9536 11920 19072 23840 38144 47680 76288 95360 190720 381440 3154153 6308306 12616612 15770765 25233224 31541530 50466448 63083060 100932896 126166120 201865792 252332240 403731584 469968797 504664480 807463168 939937594 1009328960 1614926336 1879875188 2018657920 2349843985 3759750376 4037315840 4699687970 7519500752 8074631680 9399375940 15039001504 18798751880 30078003008 37597503760 60156006016 75195007520 120312012032 150390015040 240624024064 300780030080 601560060160 1203120120320