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12132523253000 = 2353232272323793
BaseRepresentation
bin1011000010001101001010…
…1111010001110100001000
31120221212011101221212211002
42300203102233101310020
53042234401423044000
641445334303154132
72361355144043423
oct260432257216410
946855141855732
1012132523253000
11395841309a297
12143b4455a5948
136a0127275817
142dd30822c9ba
151608dc5548d5
hexb08d2bd1d08

12132523253000 has 128 divisors (see below), whose sum is σ = 29754973797120. Its totient is φ = 4621557529600.

The previous prime is 12132523252957. The next prime is 12132523253027. The reversal of 12132523253000 is 35232523121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4059104 + ... + 6382896.

It is an arithmetic number, because the mean of its divisors is an integer number (232460732790).

Almost surely, 212132523253000 is an apocalyptic number.

12132523253000 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 12132523253000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14877486898560).

12132523253000 is an abundant number, since it is smaller than the sum of its proper divisors (17622450544120).

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

12132523253000 is a wasteful number, since it uses less digits than its factorization.

12132523253000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324064 (or 2324050 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

Adding to 12132523253000 its reverse (35232523121), we get a palindrome (12167755776121).

The spelling of 12132523253000 in words is "twelve trillion, one hundred thirty-two billion, five hundred twenty-three million, two hundred fifty-three thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 227 230 250 454 460 500 575 908 920 1000 1135 1150 1816 2270 2300 2875 4540 4600 5221 5675 5750 9080 10442 11350 11500 20884 22700 23000 26105 28375 41768 45400 52210 56750 104420 113500 130525 208840 227000 261050 522100 652625 1044200 1305250 2323793 2610500 4647586 5221000 9295172 11618965 18590344 23237930 46475860 53447239 58094825 92951720 106894478 116189650 213788956 232379300 267236195 290474125 427577912 464758600 527501011 534472390 580948250 1055002022 1068944780 1161896500 1336180975 2110004044 2137889560 2323793000 2637505055 2672361950 4220008088 5275010110 5344723900 6680904875 10550020220 10689447800 12132523253 13187525275 13361809750 21100040440 24265046506 26375050550 26723619500 48530093012 52750101100 53447239000 60662616265 65937626375 97060186024 105500202200 121325232530 131875252750 242650465060 263750505500 303313081325 485300930120 527501011000 606626162650 1213252325300 1516565406625 2426504650600 3033130813250 6066261626500 12132523253000