Search a number
-
+
12000003112300 = 22527214831651369
BaseRepresentation
bin1010111010011111011111…
…1011000011110101101100
31120111012002211221020001211
42232213313323003311230
53033102001244043200
641304420400444204
72345654156324200
oct256476773036554
946435084836054
1012000003112300
113907199a10155
121419820919664
1369079823c398
142d6b3618cb00
1515c233337aba
hexae9f7ec3d6c

12000003112300 has 108 divisors (see below), whose sum is σ = 30311880566520. Its totient is φ = 4111509991680.

The previous prime is 12000003112271. The next prime is 12000003112327. The reversal of 12000003112300 is 321130000021.

It is a super-2 number, since 2×120000031123002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6441016 + ... + 8092384.

Almost surely, 212000003112300 is an apocalyptic number.

12000003112300 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 12000003112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15155940283260).

12000003112300 is an abundant number, since it is smaller than the sum of its proper divisors (18311877454220).

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

12000003112300 is a wasteful number, since it uses less digits than its factorization.

12000003112300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652880 (or 1652866 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 12000003112300 its reverse (321130000021), we get a palindrome (12321133112321).

The spelling of 12000003112300 in words is "twelve trillion, three million, one hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 1483 2450 2966 4900 5932 7415 10381 14830 20762 29660 37075 41524 51905 72667 74150 103810 145334 148300 207620 259525 290668 363335 519050 726670 1038100 1453340 1651369 1816675 3302738 3633350 6605476 7266700 8256845 11559583 16513690 23119166 33027380 41284225 46238332 57797915 80917081 82568450 115595830 161834162 165136900 231191660 288989575 323668324 404585405 577979150 809170810 1155958300 1618341620 2022927025 2448980227 4045854050 4897960454 8091708100 9795920908 12244901135 17142861589 24489802270 34285723178 48979604540 61224505675 68571446356 85714307945 120000031123 122449011350 171428615890 240000062246 244898022700 342857231780 428571539725 480000124492 600000155615 857143079450 1200000311230 1714286158900 2400000622460 3000000778075 6000001556150 12000003112300