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12541240000 = 26541718443
BaseRepresentation
bin10111010111000010…
…00010001011000000
31012101000120000001101
423223201002023000
5201141024140000
65432242144144
7622532531632
oct135341021300
935330500041
1012541240000
115356226263
122520052054
13124b328993
1486d86aa52
154d6032e6a
hex2eb8422c0

12541240000 has 140 divisors (see below), whose sum is σ = 32929290504. Its totient is φ = 4721152000.

The previous prime is 12541239961. The next prime is 12541240013. The reversal of 12541240000 is 4214521.

It is a self number, because there is not a number n which added to its sum of digits gives 12541240000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 670779 + ... + 689221.

Almost surely, 212541240000 is an apocalyptic number.

12541240000 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 12541240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16464645252).

12541240000 is an abundant number, since it is smaller than the sum of its proper divisors (20388050504).

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

12541240000 is an equidigital number, since it uses as much as digits as its factorization.

12541240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18492 (or 18467 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

Adding to 12541240000 its reverse (4214521), we get a palindrome (12545454521).

The spelling of 12541240000 in words is "twelve billion, five hundred forty-one million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 125 136 160 170 200 250 272 320 340 400 425 500 544 625 680 800 850 1000 1088 1250 1360 1600 1700 2000 2125 2500 2720 3400 4000 4250 5000 5440 6800 8000 8500 10000 10625 13600 17000 18443 20000 21250 27200 34000 36886 40000 42500 68000 73772 85000 92215 136000 147544 170000 184430 295088 313531 340000 368860 461075 590176 627062 680000 737720 922150 1180352 1254124 1475440 1567655 1844300 2305375 2508248 2950880 3135310 3688600 4610750 5016496 5901760 6270620 7377200 7838275 9221500 10032992 11526875 12541240 14754400 15676550 18443000 20065984 23053750 25082480 29508800 31353100 36886000 39191375 46107500 50164960 62706200 73772000 78382750 92215000 100329920 125412400 147544000 156765500 184430000 195956875 250824800 313531000 368860000 391913750 501649600 627062000 737720000 783827500 1254124000 1567655000 2508248000 3135310000 6270620000 12541240000