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12523304000000 = 29561565413
BaseRepresentation
bin1011011000111100111100…
…0101100001101000000000
31122100012211120212200020002
42312033033011201220000
53120140211311000000
642345043150535132
72431531101431003
oct266171705415000
948305746780202
1012523304000000
113a99115698432
1214a31252074a8
136cac33898171
143141b9c2553a
1516ab5e8b28d5
hexb63cf161a00

12523304000000 has 140 divisors (see below), whose sum is σ = 31277305153182. Its totient is φ = 5009318400000.

The previous prime is 12523303999991. The next prime is 12523304000017. The reversal of 12523304000000 is 40332521.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 2955813685504 + 9567490314496 = 1719248^2 + 3093136^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 13 ways as a sum of consecutive naturals, for example, 7217294 + ... + 8782706.

Almost surely, 212523304000000 is an apocalyptic number.

12523304000000 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 12523304000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15638652576591).

12523304000000 is an abundant number, since it is smaller than the sum of its proper divisors (18754001153182).

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

12523304000000 is an frugal number, since it uses more digits than its factorization.

12523304000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565461 (or 1565420 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 12523304000000 its reverse (40332521), we get a palindrome (12523344332521).

The spelling of 12523304000000 in words is "twelve trillion, five hundred twenty-three billion, three hundred four million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1250 1280 1600 2000 2500 2560 3125 3200 4000 5000 6250 6400 8000 10000 12500 12800 15625 16000 20000 25000 31250 32000 40000 50000 62500 64000 80000 100000 125000 160000 200000 250000 320000 400000 500000 800000 1000000 1565413 1600000 2000000 3130826 4000000 6261652 7827065 8000000 12523304 15654130 25046608 31308260 39135325 50093216 62616520 78270650 100186432 125233040 156541300 195676625 200372864 250466080 313082600 391353250 400745728 500932160 626165200 782706500 801491456 978383125 1001864320 1252330400 1565413000 1956766250 2003728640 2504660800 3130826000 3913532500 4007457280 4891915625 5009321600 6261652000 7827065000 9783831250 10018643200 12523304000 15654130000 19567662500 20037286400 24459578125 25046608000 31308260000 39135325000 48919156250 50093216000 62616520000 78270650000 97838312500 100186432000 125233040000 156541300000 195676625000 250466080000 313082600000 391353250000 500932160000 626165200000 782706500000 1252330400000 1565413000000 2504660800000 3130826000000 6261652000000 12523304000000