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12232220013232 = 24193311019119297
BaseRepresentation
bin1011001000000000100100…
…1000001111001010110000
31121022101111110000001022021
42302000021020033022300
53100403041310410412
642003223154521224
72401514546400112
oct262001110171260
947271443001267
1012232220013232
11399672333890a
121456829896214
136a9654cc193b
14304084cb53b2
151632c4d40607
hexb200920f2b0

12232220013232 has 80 divisors (see below), whose sum is σ = 25047426326400. Its totient is φ = 5770986946560.

The previous prime is 12232220013229. The next prime is 12232220013271. The reversal of 12232220013232 is 23231002223221.

It is a super-2 number, since 2×122322200132322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12232220013197 and 12232220013206.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102476208 + ... + 102595504.

It is an arithmetic number, because the mean of its divisors is an integer number (313092829080).

Almost surely, 212232220013232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12232220013232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12523713163200).

12232220013232 is an abundant number, since it is smaller than the sum of its proper divisors (12815206313168).

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

12232220013232 is a wasteful number, since it uses less digits than its factorization.

12232220013232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120674 (or 120668 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 12232220013232 its reverse (23231002223221), we get a palindrome (35463222236453).

The spelling of 12232220013232 in words is "twelve trillion, two hundred thirty-two billion, two hundred twenty million, thirteen thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 19 38 76 152 304 331 662 1019 1324 2038 2648 4076 5296 6289 8152 12578 16304 19361 25156 38722 50312 77444 100624 119297 154888 238594 309776 337289 477188 674578 954376 1349156 1908752 2266643 2698312 4533286 5396624 6408491 9066572 12816982 18133144 25633964 36266288 39487307 51267928 78974614 102535856 121563643 157949228 243127286 315898456 486254572 631796912 750258833 972509144 1500517666 1945018288 2309709217 3001035332 4619418434 6002070664 9238836868 12004141328 18477673736 36955347472 40237565833 80475131666 160950263332 321900526664 643801053328 764513750827 1529027501654 3058055003308 6116110006616 12232220013232