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12025312022444 = 22719157396736293
BaseRepresentation
bin1010111011111101110001…
…1100111000111110101100
31120120121102200010001221012
42232333130130320332230
53034010314334204234
641324204014324352
72350541304445220
oct256773434707654
946517380101835
1012025312022444
1139169a7156a16
1214227047b96b8
13692c9c773166
142d8057588780
1515cc151c90ce
hexaefdc738fac

12025312022444 has 96 divisors (see below), whose sum is σ = 25484822200320. Its totient is φ = 4850002490112.

The previous prime is 12025312022411. The next prime is 12025312022459. The reversal of 12025312022444 is 44422021352021.

It is a self number, because there is not a number n which added to its sum of digits gives 12025312022444.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331321562 + ... + 331357854.

It is an arithmetic number, because the mean of its divisors is an integer number (265466897920).

Almost surely, 212025312022444 is an apocalyptic number.

12025312022444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12025312022444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12742411100160).

12025312022444 is an abundant number, since it is smaller than the sum of its proper divisors (13459510177876).

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

12025312022444 is a wasteful number, since it uses less digits than its factorization.

12025312022444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40447 (or 40445 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 12025312022444 its reverse (44422021352021), we get a palindrome (56447333374465).

The spelling of 12025312022444 in words is "twelve trillion, twenty-five billion, three hundred twelve million, twenty-two thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 19 28 38 76 133 157 266 314 532 628 1099 2198 2983 3967 4396 5966 7934 11932 15868 20881 27769 36293 41762 55538 72586 75373 83524 111076 145172 150746 254051 301492 508102 527611 622819 689567 1016204 1055222 1245638 1379134 2110444 2491276 2758268 4359733 4826969 5698001 8719466 9653938 11396002 11833561 17438932 19307876 22792004 23667122 39886007 47334244 79772014 82834927 108262019 143974331 159544028 165669854 216524038 287948662 331339708 433048076 575897324 757834133 1007820317 1515668266 2015640634 2735512289 3031336532 4031281268 5471024578 10942049156 19148586023 22603969967 38297172046 45207939934 76594344092 90415879868 158227789769 316455579538 429475429373 632911159076 858950858746 1717901717492 3006328005611 6012656011222 12025312022444