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12140243224000 = 26534613291823
BaseRepresentation
bin1011000010101001111011…
…1000101000010111000000
31120222121002102110001010221
42300222132320220113000
53042401204231132000
641453052321032424
72362050354522463
oct260523670502700
946877072401127
1012140243224000
113960714893811
121440a3aa85714
136a0a87790cb8
142dd83b6412da
15160be018861a
hexb0a9ee285c0

12140243224000 has 112 divisors (see below), whose sum is σ = 30130539094656. Its totient is φ = 4845561984000.

The previous prime is 12140243223853. The next prime is 12140243224003. The reversal of 12140243224000 is 42234204121.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12140243224003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2042089 + ... + 5333911.

It is an arithmetic number, because the mean of its divisors is an integer number (269022670488).

Almost surely, 212140243224000 is an apocalyptic number.

12140243224000 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 12140243224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15065269547328).

12140243224000 is an abundant number, since it is smaller than the sum of its proper divisors (17990295870656).

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

12140243224000 is an equidigital number, since it uses as much as digits as its factorization.

12140243224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3292311 (or 3292291 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 12140243224000 its reverse (42234204121), we get a palindrome (12182477428121).

The spelling of 12140243224000 in words is "twelve trillion, one hundred forty billion, two hundred forty-three million, two hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 461 500 800 922 1000 1600 1844 2000 2305 3688 4000 4610 7376 8000 9220 11525 14752 18440 23050 29504 36880 46100 57625 73760 92200 115250 147520 184400 230500 368800 461000 737600 922000 1844000 3291823 3688000 6583646 13167292 16459115 26334584 32918230 52669168 65836460 82295575 105338336 131672920 164591150 210676672 263345840 329182300 411477875 526691680 658364600 822955750 1053383360 1316729200 1517530403 1645911500 2633458400 3035060806 3291823000 5266916800 6070121612 6583646000 7587652015 12140243224 13167292000 15175304030 24280486448 26334584000 30350608060 37938260075 48560972896 60701216120 75876520150 97121945792 121402432240 151753040300 189691300375 242804864480 303506080600 379382600750 485609728960 607012161200 758765201500 1214024322400 1517530403000 2428048644800 3035060806000 6070121612000 12140243224000