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12023223200 = 2552109173797
BaseRepresentation
bin10110011001010001…
…11101001110100000
31011000220211000120222
423030220331032200
5144110421120300
65305015222212
7603642465602
oct131450751640
934026730528
1012023223200
11510a8835aa
1223b6677968
131197c06071
14820b45172
154a580b785
hex2cca3d3a0

12023223200 has 144 divisors (see below), whose sum is σ = 29829575160. Its totient is φ = 4731678720.

The previous prime is 12023223169. The next prime is 12023223217. The reversal of 12023223200 is 232232021.

It can be written as a sum of positive squares in 12 ways, for example, as 3661218064 + 8362005136 = 60508^2 + 91444^2 .

It is a super-2 number, since 2×120232232002 (a number of 21 digits) contains 22 as substring.

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, 15085202 + ... + 15085998.

Almost surely, 212023223200 is an apocalyptic number.

12023223200 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 12023223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14914787580).

12023223200 is an abundant number, since it is smaller than the sum of its proper divisors (17806351960).

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

12023223200 is a wasteful number, since it uses less digits than its factorization.

12023223200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 12023223200 its reverse (232232021), we get a palindrome (12255455221).

The spelling of 12023223200 in words is "twelve billion, twenty-three million, two hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 109 160 173 200 218 346 400 436 545 692 797 800 865 872 1090 1384 1594 1730 1744 2180 2725 2768 3188 3460 3488 3985 4325 4360 5450 5536 6376 6920 7970 8650 8720 10900 12752 13840 15940 17300 17440 18857 19925 21800 25504 27680 31880 34600 37714 39850 43600 63760 69200 75428 79700 86873 87200 94285 127520 137881 138400 150856 159400 173746 188570 275762 301712 318800 347492 377140 434365 471425 551524 603424 637600 689405 694984 754280 868730 942850 1103048 1378810 1389968 1508560 1737460 1885700 2171825 2206096 2757620 2779936 3017120 3447025 3474920 3771400 4343650 4412192 5515240 6894050 6949840 7542800 8687300 11030480 13788100 13899680 15029029 15085600 17374600 22060960 27576200 30058058 34749200 55152400 60116116 69498400 75145145 110304800 120232232 150290290 240464464 300580580 375725725 480928928 601161160 751451450 1202322320 1502902900 2404644640 3005805800 6011611600 12023223200