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12110000012300 = 225217191514924749
BaseRepresentation
bin1011000000111001010000…
…1111111011110000001100
31120212201000201111201001002
42300032110033323300030
53041402240000343200
641431131320035432
72356630042463561
oct260162417736014
946781021451032
1012110000012300
113949905333183
121436bba602b78
1369ac77bc2268
142dc1acba6868
1516002001bbd5
hexb03943fbc0c

12110000012300 has 144 divisors (see below), whose sum is σ = 29292070500000. Its totient is φ = 4318648750080.

The previous prime is 12110000012291. The next prime is 12110000012329. The reversal of 12110000012300 is 321000001121.

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, 489300326 + ... + 489325074.

It is an arithmetic number, because the mean of its divisors is an integer number (203417156250).

Almost surely, 212110000012300 is an apocalyptic number.

12110000012300 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 12110000012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14646035250000).

12110000012300 is an abundant number, since it is smaller than the sum of its proper divisors (17182070487700).

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

12110000012300 is a wasteful number, since it uses less digits than its factorization.

12110000012300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39948 (or 39941 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 12110000012300 its reverse (321000001121), we get a palindrome (12431000013421).

The spelling of 12110000012300 in words is "twelve trillion, one hundred ten billion, twelve thousand, three hundred".

Divisors: 1 2 4 5 10 17 19 20 25 34 38 50 68 76 85 95 100 170 190 323 340 380 425 475 646 850 950 1292 1615 1700 1900 3230 6460 8075 15149 16150 24749 30298 32300 49498 60596 75745 98996 123745 151490 247490 257533 287831 302980 378725 420733 470231 494980 515066 575662 618725 757450 841466 940462 1030132 1151324 1237450 1287665 1439155 1514900 1682932 1880924 2103665 2351155 2474900 2575330 2878310 4207330 4702310 4893127 5150660 5756620 6438325 7195775 7993927 8414660 9404620 9786254 10518325 11755775 12876650 14391550 15987854 19572508 21036650 23511550 24465635 25753300 28783100 31975708 39969635 42073300 47023100 48931270 79939270 97862540 122328175 159878540 199848175 244656350 374922601 399696350 489312700 749845202 799392700 1499690404 1874613005 3749226010 6373684217 7123529419 7498452020 9373065025 12747368434 14247058838 18746130050 25494736868 28494117676 31868421085 35617647095 37492260100 63736842170 71235294190 121100000123 127473684340 142470588380 159342105425 178088235475 242200000246 318684210850 356176470950 484400000492 605500000615 637368421700 712352941900 1211000001230 2422000002460 3027500003075 6055000006150 12110000012300