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12124120000 = 2654476449
BaseRepresentation
bin10110100101010011…
…10110001111000000
31011021221200002222111
423102221312033000
5144312233320000
65323021545104
7606306214426
oct132251661700
934257602874
1012124120000
115161827893
122424415194
1311b2aa1b05
148302cb116
154ae5dbcba
hex2d2a763c0

12124120000 has 140 divisors (see below), whose sum is σ = 30708295200. Its totient is φ = 4745728000.

The previous prime is 12124119991. The next prime is 12124120013. The reversal of 12124120000 is 2142121.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1876776 + ... + 1883224.

Almost surely, 212124120000 is an apocalyptic number.

12124120000 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 12124120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15354147600).

12124120000 is an abundant number, since it is smaller than the sum of its proper divisors (18584175200).

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

12124120000 is an frugal number, since it uses more digits than its factorization.

12124120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6528 (or 6503 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12124120000 its reverse (2142121), we get a palindrome (12126262121).

The spelling of 12124120000 in words is "twelve billion, one hundred twenty-four million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 64 80 94 100 125 160 188 200 235 250 320 376 400 470 500 625 752 800 940 1000 1175 1250 1504 1600 1880 2000 2350 2500 3008 3760 4000 4700 5000 5875 6449 7520 8000 9400 10000 11750 12898 15040 18800 20000 23500 25796 29375 32245 37600 40000 47000 51592 58750 64490 75200 94000 103184 117500 128980 161225 188000 206368 235000 257960 303103 322450 376000 412736 470000 515920 606206 644900 806125 940000 1031840 1212412 1289800 1515515 1612250 1880000 2063680 2424824 2579600 3031030 3224500 4030625 4849648 5159200 6062060 6449000 7577575 8061250 9699296 10318400 12124120 12898000 15155150 16122500 19398592 24248240 25796000 30310300 32245000 37887875 48496480 51592000 60620600 64490000 75775750 96992960 121241200 128980000 151551500 189439375 242482400 257960000 303103000 378878750 484964800 606206000 757757500 1212412000 1515515000 2424824000 3031030000 6062060000 12124120000