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12225653312355 = 3257411097862921
BaseRepresentation
bin1011000111101000000110…
…1110010000101101100011
31121021202112210121002011200
42301322001232100231203
53100301114221443410
642000215415412243
72401163041351440
oct261720156205543
947252483532150
1012225653312355
11399396363329a
1214554b6684083
136a8b496b8b12
14303a20b0a9c7
1516303d5b63c0
hexb1e81b90b63

12225653312355 has 96 divisors (see below), whose sum is σ = 24831774834048. Its totient is φ = 5447579443200.

The previous prime is 12225653312351. The next prime is 12225653312359. The reversal of 12225653312355 is 55321335652221.

12225653312355 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 56 + 533 + 12 + 3 + 55 = 666.

It is an interprime number because it is at equal distance from previous prime (12225653312351) and next prime (12225653312359).

It is not a de Polignac number, because 12225653312355 - 22 = 12225653312351 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12225653312355.

It is not an unprimeable number, because it can be changed into a prime (12225653312351) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13736295 + ... + 14599215.

It is an arithmetic number, because the mean of its divisors is an integer number (258664321188).

Almost surely, 212225653312355 is an apocalyptic number.

12225653312355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12225653312355 is an abundant number, since it is smaller than the sum of its proper divisors (12606121521693).

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

12225653312355 is a wasteful number, since it uses less digits than its factorization.

12225653312355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864077 (or 864074 counting only the distinct ones).

The product of its digits is 1620000, while the sum is 45.

Adding to 12225653312355 its reverse (55321335652221), we get a palindrome (67546988964576).

The spelling of 12225653312355 in words is "twelve trillion, two hundred twenty-five billion, six hundred fifty-three million, three hundred twelve thousand, three hundred fifty-five".

Divisors: 1 3 5 7 9 15 21 35 41 45 63 105 123 205 287 315 369 615 861 1097 1435 1845 2583 3291 4305 5485 7679 9873 12915 16455 23037 38395 44977 49365 69111 115185 134931 224885 314839 345555 404793 674655 862921 944517 1574195 2023965 2588763 2833551 4314605 4722585 6040447 7766289 12943815 14167755 18121341 30202235 35379761 38831445 54364023 90606705 106139283 176898805 247658327 271820115 318417849 530696415 742974981 946624337 1238291635 1592089245 2228924943 2839873011 3714874905 4733121685 6626370359 8519619033 11144624715 14199365055 19879111077 33131851795 38811597817 42598095165 59637333231 99395555385 116434793451 194057989085 271681184719 298186666155 349304380353 582173967255 815043554157 1358405923595 1746521901765 2445130662471 4075217770785 12225653312355