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12012303300 = 2235273896163
BaseRepresentation
bin10110010111111110…
…10011001111000100
31011000011021020022020
423023333103033010
5144100122201200
65303545203140
7603450615264
oct131377231704
934004236266
1012012303300
1151046a5298
1223b2a904b0
13119588189a
1481d5017a4
154a48a0ea0
hex2cbfd33c4

12012303300 has 144 divisors (see below), whose sum is σ = 35633344320. Its totient is φ = 3123394560.

The previous prime is 12012303293. The next prime is 12012303307. The reversal of 12012303300 is 330321021.

It is an interprime number because it is at equal distance from previous prime (12012303293) and next prime (12012303307).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12012303300.

It is not an unprimeable number, because it can be changed into a prime (12012303307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1946019 + ... + 1952181.

It is an arithmetic number, because the mean of its divisors is an integer number (247453780).

Almost surely, 212012303300 is an apocalyptic number.

12012303300 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 12012303300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17816672160).

12012303300 is an abundant number, since it is smaller than the sum of its proper divisors (23621041020).

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

12012303300 is a wasteful number, since it uses less digits than its factorization.

12012303300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6342 (or 6335 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 12012303300 its reverse (330321021), we get a palindrome (12342624321).

The spelling of 12012303300 in words is "twelve billion, twelve million, three hundred three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 73 75 89 100 146 150 178 219 267 292 300 356 365 438 445 534 730 876 890 1068 1095 1335 1460 1780 1825 2190 2225 2670 3650 4380 4450 5340 5475 6163 6497 6675 7300 8900 10950 12326 12994 13350 18489 19491 21900 24652 25988 26700 30815 32485 36978 38982 61630 64970 73956 77964 92445 97455 123260 129940 154075 162425 184890 194910 308150 324850 369780 389820 449899 462225 487275 548507 616300 649700 899798 924450 974550 1097014 1349697 1645521 1799596 1848900 1949100 2194028 2249495 2699394 2742535 3291042 4498990 5398788 5485070 6582084 6748485 8227605 8997980 10970140 11247475 13496970 13712675 16455210 22494950 26993940 27425350 32910420 33742425 40041011 41138025 44989900 54850700 67484850 80082022 82276050 120123033 134969700 160164044 164552100 200205055 240246066 400410110 480492132 600615165 800820220 1001025275 1201230330 2002050550 2402460660 3003075825 4004101100 6006151650 12012303300