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12044312200 = 2352317127361
BaseRepresentation
bin10110011011110010…
…11001111010001000
31011002101111110021001
423031321121322020
5144131320442300
65311051224344
7604316651554
oct131571317210
934071443231
1012044312200
115120778028
1224017480b4
13119c3ab06b
14823874864
154a75c516a
hex2cde59e88

12044312200 has 96 divisors (see below), whose sum is σ = 29314552320. Its totient is φ = 4596480000.

The previous prime is 12044312197. The next prime is 12044312221. The reversal of 12044312200 is 221344021.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 426520 + ... + 453880.

It is an arithmetic number, because the mean of its divisors is an integer number (305359920).

Almost surely, 212044312200 is an apocalyptic number.

12044312200 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 12044312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14657276160).

12044312200 is an abundant number, since it is smaller than the sum of its proper divisors (17270240120).

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

12044312200 is a wasteful number, since it uses less digits than its factorization.

12044312200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27479 (or 27470 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 12044312200 its reverse (221344021), we get a palindrome (12265656221).

The spelling of 12044312200 in words is "twelve billion, forty-four million, three hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 71 100 124 142 155 200 248 284 310 355 568 620 710 775 1240 1420 1550 1775 2201 2840 3100 3550 4402 6200 7100 8804 11005 14200 17608 22010 27361 44020 54722 55025 88040 109444 110050 136805 218888 220100 273610 440200 547220 684025 848191 1094440 1368050 1696382 1942631 2736100 3392764 3885262 4240955 5472200 6785528 7770524 8481910 9713155 15541048 16963820 19426310 21204775 33927640 38852620 42409550 48565775 60221561 77705240 84819100 97131550 120443122 169638200 194263100 240886244 301107805 388526200 481772488 602215610 1204431220 1505539025 2408862440 3011078050 6022156100 12044312200