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12222057216552 = 23323181148382487
BaseRepresentation
bin1011000111011010101101…
…1000001111101000101000
31121021102021011220111010020
42301312223120033220220
53100221233121412202
641554422514520440
72401004654140221
oct261665330175050
947242234814106
1012222057216552
113992388741297
121454872296120
136a86c5674a91
1430379d296248
15162dcca265bc
hexb1dab60fa28

12222057216552 has 128 divisors (see below), whose sum is σ = 32081787279360. Its totient is φ = 3872697903360.

The previous prime is 12222057216503. The next prime is 12222057216557. The reversal of 12222057216552 is 25561275022221.

12222057216552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12222057216557) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148128253 + ... + 148210739.

It is an arithmetic number, because the mean of its divisors is an integer number (250638963120).

Almost surely, 212222057216552 is an apocalyptic number.

12222057216552 is a gapful number since it is divisible by the number (12) 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 12222057216552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16040893639680).

12222057216552 is an abundant number, since it is smaller than the sum of its proper divisors (19859730062808).

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

12222057216552 is a wasteful number, since it uses less digits than its factorization.

12222057216552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84183 (or 84179 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 42.

The spelling of 12222057216552 in words is "twelve trillion, two hundred twenty-two billion, fifty-seven million, two hundred sixteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 181 184 276 362 543 552 724 1086 1448 1483 2172 2966 4163 4344 4449 5932 8326 8898 11864 12489 16652 17796 24978 33304 34109 35592 49956 68218 82487 99912 102327 136436 164974 204654 247461 268423 272872 329948 409308 494922 536846 659896 805269 818616 989844 1073692 1610538 1897201 1979688 2147384 3221076 3794402 5691603 6173729 6442152 7588804 11383206 12347458 14930147 15177608 18521187 22766412 24694916 29860294 37042374 44790441 45532824 49389832 59720588 74084748 89580882 119441176 122328221 148169496 179161764 244656442 343393381 358323528 366984663 489312884 686786762 733969326 978625768 1030180143 1373573524 1467938652 2060360286 2747147048 2813549083 2935877304 4120720572 5627098166 8241441144 8440647249 11254196332 16881294498 22141408001 22508392664 33762588996 44282816002 66424224003 67525177992 88565632004 132848448006 177131264008 265696896012 509252384023 531393792024 1018504768046 1527757152069 2037009536092 3055514304138 4074019072184 6111028608276 12222057216552