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12011233000 = 2353134321487
BaseRepresentation
bin10110010111110110…
…01101111011101000
31011000002020212010111
423023323031323220
5144044333424000
65303510224104
7603435540004
oct131373157350
934002225114
1012011233000
115104034148
1223b2655034
131195598680
1481d303704
154a473dcba
hex2cbecdee8

12011233000 has 128 divisors (see below), whose sum is σ = 30973662720. Its totient is φ = 4331577600.

The previous prime is 12011232977. The next prime is 12011233009. The reversal of 12011233000 is 33211021.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (12011233009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 548257 + ... + 569743.

It is an arithmetic number, because the mean of its divisors is an integer number (241981740).

Almost surely, 212011233000 is an apocalyptic number.

12011233000 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 12011233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15486831360).

12011233000 is an abundant number, since it is smaller than the sum of its proper divisors (18962429720).

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

12011233000 is a wasteful number, since it uses less digits than its factorization.

12011233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21564 (or 21550 counting only the distinct ones).

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

Adding to 12011233000 its reverse (33211021), we get a palindrome (12044444021).

The spelling of 12011233000 in words is "twelve billion, eleven million, two hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 43 50 52 65 86 100 104 125 130 172 200 215 250 260 325 344 430 500 520 559 650 860 1000 1075 1118 1300 1625 1720 2150 2236 2600 2795 3250 4300 4472 5375 5590 6500 8600 10750 11180 13000 13975 21487 21500 22360 27950 42974 43000 55900 69875 85948 107435 111800 139750 171896 214870 279331 279500 429740 537175 558662 559000 859480 923941 1074350 1117324 1396655 1847882 2148700 2234648 2685875 2793310 3695764 4297400 4619705 5371750 5586620 6983275 7391528 9239410 10743500 11173240 12011233 13966550 18478820 21487000 23098525 24022466 27933100 34916375 36957640 46197050 48044932 55866200 60056165 69832750 92394100 96089864 115492625 120112330 139665500 184788200 230985250 240224660 279331000 300280825 461970500 480449320 600561650 923941000 1201123300 1501404125 2402246600 3002808250 6005616500 12011233000