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12144007500 = 223542516451
BaseRepresentation
bin10110100111101011…
…01101100101001100
31011100100002111111120
423103311231211030
5144332331220000
65325012120540
7606640234452
oct132365554514
934310074446
1012144007500
115171a80639
12242b006150
1311b6c45c71
14832bc69d2
154b12196a0
hex2d3d6d94c

12144007500 has 120 divisors (see below), whose sum is σ = 35555268672. Its totient is φ = 3225000000.

The previous prime is 12144007471. The next prime is 12144007507. The reversal of 12144007500 is 570044121.

It is not an unprimeable number, because it can be changed into a prime (12144007507) 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 39 ways as a sum of consecutive naturals, for example, 1879275 + ... + 1885725.

Almost surely, 212144007500 is an apocalyptic number.

12144007500 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 12144007500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17777634336).

12144007500 is an abundant number, since it is smaller than the sum of its proper divisors (23411261172).

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

12144007500 is a wasteful number, since it uses less digits than its factorization.

12144007500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6729 (or 6712 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The spelling of 12144007500 in words is "twelve billion, one hundred forty-four million, seven thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 251 300 375 500 502 625 750 753 1004 1250 1255 1500 1506 1875 2500 2510 3012 3750 3765 5020 6275 6451 7500 7530 12550 12902 15060 18825 19353 25100 25804 31375 32255 37650 38706 62750 64510 75300 77412 94125 96765 125500 129020 156875 161275 188250 193530 313750 322550 376500 387060 470625 483825 627500 645100 806375 941250 967650 1612750 1619201 1882500 1935300 2419125 3225500 3238402 4031875 4838250 4857603 6476804 8063750 8096005 9676500 9715206 12095625 16127500 16192010 19430412 24191250 24288015 32384020 40480025 48382500 48576030 80960050 97152060 121440075 161920100 202400125 242880150 404800250 485760300 607200375 809600500 1012000625 1214400750 2024001250 2428801500 3036001875 4048002500 6072003750 12144007500