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12012233200 = 24521119143687
BaseRepresentation
bin10110010111111110…
…00010000111110000
31011000011010200010221
423023333002013300
5144100112430300
65303543502424
7603450204022
oct131377020760
934004120127
1012012233200
115104657660
1223b2a57a14
1311958589c6
1481d4c4012
154a488a31a
hex2cbfc21f0

12012233200 has 120 divisors (see below), whose sum is σ = 33140200320. Its totient is φ = 4138156800.

The previous prime is 12012233179. The next prime is 12012233267. The reversal of 12012233200 is 233221021.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 11757 + ... + 155443.

It is an arithmetic number, because the mean of its divisors is an integer number (276168336).

Almost surely, 212012233200 is an apocalyptic number.

12012233200 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 12012233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16570100160).

12012233200 is an abundant number, since it is smaller than the sum of its proper divisors (21127967120).

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

12012233200 is a wasteful number, since it uses less digits than its factorization.

12012233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143735 (or 143724 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12012233200 its reverse (233221021), we get a palindrome (12245454221).

The spelling of 12012233200 in words is "twelve billion, twelve million, two hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 25 38 40 44 50 55 76 80 88 95 100 110 152 176 190 200 209 220 275 304 380 400 418 440 475 550 760 836 880 950 1045 1100 1520 1672 1900 2090 2200 3344 3800 4180 4400 5225 7600 8360 10450 16720 20900 41800 83600 143687 287374 574748 718435 1149496 1436870 1580557 2298992 2730053 2873740 3161114 3592175 5460106 5747480 6322228 7184350 7902785 10920212 11494960 12644456 13650265 14368700 15805570 21840424 25288912 27300530 28737400 30030583 31611140 39513925 43680848 54601060 57474800 60061166 63222280 68251325 79027850 109202120 120122332 126444560 136502650 150152915 158055700 218404240 240244664 273005300 300305830 316111400 480489328 546010600 600611660 632222800 750764575 1092021200 1201223320 1501529150 2402446640 3003058300 6006116600 12012233200