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12132302231120 = 2451073733799799
BaseRepresentation
bin1011000010001100010110…
…0100001001011001010000
31120221211121000001210210112
42300203011210021121100
53042233423332343440
641445300330020452
72361346521302651
oct260430544113120
946854530053715
1012132302231120
11395830a359285
12143b3a3577728
136a00c053ac46
142dd2c6b37528
151608c7e46965
hexb08c5909650

12132302231120 has 80 divisors (see below), whose sum is σ = 28547563017600. Its totient is φ = 4794676311552.

The previous prime is 12132302231099. The next prime is 12132302231143. The reversal of 12132302231120 is 2113220323121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 1292981 + ... + 5092779.

It is an arithmetic number, because the mean of its divisors is an integer number (356844537720).

Almost surely, 212132302231120 is an apocalyptic number.

12132302231120 is a gapful number since it is divisible by the number (10) 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 12132302231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14273781508800).

12132302231120 is an abundant number, since it is smaller than the sum of its proper divisors (16415260786480).

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

12132302231120 is a wasteful number, since it uses less digits than its factorization.

12132302231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3800292 (or 3800286 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 12132302231120 its reverse (2113220323121), we get a palindrome (14245522554241).

The spelling of 12132302231120 in words is "twelve trillion, one hundred thirty-two billion, three hundred two million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 107 214 373 428 535 746 856 1070 1492 1712 1865 2140 2984 3730 4280 5968 7460 8560 14920 29840 39911 79822 159644 199555 319288 399110 638576 798220 1596440 3192880 3799799 7599598 15199196 18998995 30398392 37997990 60796784 75995980 151991960 303983920 406578493 813156986 1417325027 1626313972 2032892465 2834650054 3252627944 4065784930 5669300108 6505255888 7086625135 8131569860 11338600216 14173250270 16263139720 22677200432 28346500540 32526279440 56693001080 113386002160 151653777889 303307555778 606615111556 758268889445 1213230223112 1516537778890 2426460446224 3033075557780 6066151115560 12132302231120