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12231322200144 = 2432711196334331
BaseRepresentation
bin1011000111111101001110…
…0111010110100001010000
31121022022011212121102021200
42301333103213112201100
53100344221440401034
642002554123351200
72401453365200205
oct261772347264120
947268155542250
1012231322200144
11399630256a623
121456619082500
136a9540cb27a8
14303ddb967cac
151632710e6a99
hexb1fd39d6850

12231322200144 has 60 divisors (see below), whose sum is σ = 34712836977312. Its totient is φ = 4019683348800.

The previous prime is 12231322200127. The next prime is 12231322200203. The reversal of 12231322200144 is 44100222313221.

12231322200144 is a `hidden beast` number, since 1 + 2 + 2 + 313 + 2 + 2 + 200 + 144 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 598156942 + ... + 598177389.

Almost surely, 212231322200144 is an apocalyptic number.

It is an amenable number.

12231322200144 is an abundant number, since it is smaller than the sum of its proper divisors (22481514777168).

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

12231322200144 is a wasteful number, since it uses less digits than its factorization.

12231322200144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196334416 (or 1196334407 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 12231322200144 its reverse (44100222313221), we get a palindrome (56331544513365).

The spelling of 12231322200144 in words is "twelve trillion, two hundred thirty-one billion, three hundred twenty-two million, two hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 568 639 852 1136 1278 1704 2556 3408 5112 10224 1196334331 2392668662 3589002993 4785337324 7178005986 9570674648 10767008979 14356011972 19141349296 21534017958 28712023944 43068035916 57424047888 84939737501 86136071832 169879475002 172272143664 254819212503 339758950004 509638425006 679517900008 764457637509 1019276850012 1359035800016 1528915275018 2038553700024 3057830550036 4077107400048 6115661100072 12231322200144