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12132300020000 = 25541289470609
BaseRepresentation
bin1011000010001100010101…
…1011101101100100100000
31120221211120211220110201012
42300203011123231210200
53042233422301120000
641445300210400052
72361346463433356
oct260430533554440
946854524813635
1012132300020000
113958309089006
12143b3a2890028
136a00bcc456a4
142dd2c671d7d6
151608c7b5b735
hexb08c56ed920

12132300020000 has 120 divisors (see below), whose sum is σ = 29870496740700. Its totient is φ = 4849144832000.

The previous prime is 12132300019993. The next prime is 12132300020069. The reversal of 12132300020000 is 2000323121.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 101141808784 + 12031158211216 = 318028^2 + 3468596^2 .

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 19 ways as a sum of consecutive naturals, for example, 25544696 + ... + 26015304.

Almost surely, 212132300020000 is an apocalyptic number.

12132300020000 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 12132300020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14935248370350).

12132300020000 is an abundant number, since it is smaller than the sum of its proper divisors (17738196720700).

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

12132300020000 is an equidigital number, since it uses as much as digits as its factorization.

12132300020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471928 (or 471905 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 12132300020000 its reverse (2000323121), we get a palindrome (12134300343121).

The spelling of 12132300020000 in words is "twelve trillion, one hundred thirty-two billion, three hundred million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 1289 2000 2500 2578 4000 5000 5156 6445 10000 10312 12890 20000 20624 25780 32225 41248 51560 64450 103120 128900 161125 206240 257800 322250 470609 515600 644500 805625 941218 1031200 1289000 1611250 1882436 2353045 2578000 3222500 3764872 4706090 5156000 6445000 7529744 9412180 11765225 12890000 15059488 18824360 23530450 25780000 37648720 47060900 58826125 75297440 94121800 117652250 188243600 235304500 294130625 376487200 470609000 588261250 606615001 941218000 1176522500 1213230002 1882436000 2353045000 2426460004 3033075005 4706090000 4852920008 6066150010 9412180000 9705840016 12132300020 15165375025 19411680032 24264600040 30330750050 48529200080 60661500100 75826875125 97058400160 121323000200 151653750250 242646000400 303307500500 379134375625 485292000800 606615001000 758268751250 1213230002000 1516537502500 2426460004000 3033075005000 6066150010000 12132300020000