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120415221225 = 325213311327987
BaseRepresentation
bin111000000100101001…
…1100111010111101001
3102111210221111000221100
41300021103213113221
53433102244034400
6131152404032013
711462000330625
oct1601123472751
9374727430840
10120415221225
1147082286a62
121b406992609
13b480227bc0
145b84550185
1531eb674100
hex1c094e75e9

120415221225 has 72 divisors (see below), whose sum is σ = 239760265472. Its totient is φ = 57368995200.

The previous prime is 120415221221. The next prime is 120415221233. The reversal of 120415221225 is 522122514021.

120415221225 is a `hidden beast` number, since 1 + 2 + 0 + 415 + 2 + 21 + 225 = 666.

It is not a de Polignac number, because 120415221225 - 22 = 120415221221 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120415221221) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 573319 + ... + 754668.

Almost surely, 2120415221225 is an apocalyptic number.

120415221225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120415221225 is a deficient number, since it is larger than the sum of its proper divisors (119345044247).

120415221225 is a wasteful number, since it uses less digits than its factorization.

120415221225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328047 (or 1328039 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 120415221225 its reverse (522122514021), we get a palindrome (642537735246).

The spelling of 120415221225 in words is "one hundred twenty billion, four hundred fifteen million, two hundred twenty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 31 39 45 65 75 93 117 155 195 225 279 325 403 465 585 775 975 1209 1395 2015 2325 2925 3627 6045 6975 10075 18135 30225 90675 1327987 3983961 6639935 11951883 17263831 19919805 33199675 41167597 51791493 59759415 86319155 99599025 123502791 155374479 205837985 258957465 298797075 370508373 431595775 535178761 617513955 776872395 1029189925 1294787325 1605536283 1852541865 2675893805 3087569775 3884361975 4816608849 8027681415 9262709325 13379469025 24083044245 40138407075 120415221225