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12223300000300 = 22522341419309359
BaseRepresentation
bin1011000111011111010101…
…1101000101101000101100
31121021112110210102102220221
42301313311131011220230
53100231304300002200
641555150112021124
72401050524466364
oct261676535055054
947245423372827
1012223300000300
11399296620a0a4
121454b5a5317a4
136a8862c98b8c
1430387a3619a4
15162e51bb391a
hexb1df5745a2c

12223300000300 has 144 divisors (see below), whose sum is σ = 28420630963200. Its totient is φ = 4551769868800.

The previous prime is 12223300000273. The next prime is 12223300000321. The reversal of 12223300000300 is 300000332221.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39357021 + ... + 39666379.

It is an arithmetic number, because the mean of its divisors is an integer number (197365492800).

Almost surely, 212223300000300 is an apocalyptic number.

12223300000300 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 12223300000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14210315481600).

12223300000300 is an abundant number, since it is smaller than the sum of its proper divisors (16197330962900).

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

12223300000300 is a wasteful number, since it uses less digits than its factorization.

12223300000300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309856 (or 309849 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 12223300000300 its reverse (300000332221), we get a palindrome (12523300332521).

The spelling of 12223300000300 in words is "twelve trillion, two hundred twenty-three billion, three hundred million, three hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 23 25 41 46 50 82 92 100 115 164 205 230 410 419 460 575 820 838 943 1025 1150 1676 1886 2050 2095 2300 3772 4100 4190 4715 8380 9430 9637 10475 17179 18860 19274 20950 23575 34358 38548 41900 47150 48185 68716 85895 94300 96370 171790 192740 240925 309359 343580 395117 429475 481850 618718 790234 858950 963700 1237436 1546795 1580468 1717900 1975585 3093590 3951170 6187180 7115257 7733975 7902340 9877925 12683719 14230514 15467950 19755850 25367438 28461028 30935900 35576285 39511700 50734876 63418595 71152570 126837190 129621421 142305140 177881425 253674380 259242842 291725537 317092975 355762850 518485684 583451074 634185950 648107105 711525700 1166902148 1268371900 1296214210 1458627685 2592428420 2917255370 2981292683 3240535525 5314478261 5834510740 5962585366 6481071050 7293138425 10628956522 11925170732 12962142100 14586276850 14906463415 21257913044 26572391305 29172553700 29812926830 53144782610 59625853660 74532317075 106289565220 122233000003 132861956525 149064634150 244466000006 265723913050 298129268300 488932000012 531447826100 611165000015 1222330000030 2444660000060 3055825000075 6111650000150 12223300000300