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12012358833225 = 3252192121612
BaseRepresentation
bin1010111011001101100001…
…1000011001010001001001
31120112100222221101212210100
42232303120120121101021
53033302302330130400
641314222414440013
72346602310243162
oct256633030312111
946470887355710
1012012358833225
11391145a444163
1214200aa803009
136919b6cb105a
142d7589126769
1515c707e22100
hexaecd8619449

12012358833225 has 81 divisors (see below), whose sum is σ = 22709329530069. Its totient is φ = 6068903270400.

The previous prime is 12012358833199. The next prime is 12012358833229. The reversal of 12012358833225 is 52233885321021.

The square root of 12012358833225 is 3465885.

It is a perfect power (a square), and thus also a powerful number.

12012358833225 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 235 + 88 + 332 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2013280047801 + 9999078785424 = 1418901^2 + 3162132^2 .

It is not a de Polignac number, because 12012358833225 - 29 = 12012358832713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12012358833229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 987771145 + ... + 987783305.

Almost surely, 212012358833225 is an apocalyptic number.

12012358833225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12012358833225 is the 3465885-th square number.

12012358833225 is the 1732943-rd centered octagonal number.

It is an amenable number.

12012358833225 is a deficient number, since it is larger than the sum of its proper divisors (10696970696844).

12012358833225 is an frugal number, since it uses more digits than its factorization.

12012358833225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24376 (or 12188 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 12012358833225 in words is "twelve trillion, twelve billion, three hundred fifty-eight million, eight hundred thirty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 19 25 45 57 75 95 171 225 285 361 475 855 1083 1425 1805 3249 4275 5415 9025 12161 16245 27075 36483 60805 81225 109449 182415 231059 304025 547245 693177 912075 1155295 2079531 2736225 3465885 4390121 5776475 10397655 13170363 17329425 21950605 39511089 51988275 65851815 109753025 147889921 197555445 329259075 443669763 739449605 987777225 1331009289 2218348815 2809908499 3697248025 6655046445 8429725497 11091744075 14049542495 25289176491 33275232225 42148627485 53388261481 70247712475 126445882455 160164784443 210743137425 266941307405 480494353329 632229412275 800823922215 1334706537025 2402471766645 4004119611075 12012358833225