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12232013200 = 2452114759149
BaseRepresentation
bin10110110010001010…
…11011010110010000
31011120110200122121221
423121011123112100
5200022343410300
65341434254424
7612056253031
oct133105332620
934513618557
1012232013200
11520771a620
122454587414
1311cc24a244
14840774a88
154b8d0031a
hex2d915b590

12232013200 has 120 divisors (see below), whose sum is σ = 32741654400. Its totient is φ = 4353292800.

The previous prime is 12232013147. The next prime is 12232013221. The reversal of 12232013200 is 231023221.

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

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, 177226 + ... + 236374.

It is an arithmetic number, because the mean of its divisors is an integer number (272847120).

Almost surely, 212232013200 is an apocalyptic number.

12232013200 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 12232013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16370827200).

12232013200 is an abundant number, since it is smaller than the sum of its proper divisors (20509641200).

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

12232013200 is a wasteful number, since it uses less digits than its factorization.

12232013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59225 (or 59214 counting only the distinct ones).

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

Adding to 12232013200 its reverse (231023221), we get a palindrome (12463036421).

The spelling of 12232013200 in words is "twelve billion, two hundred thirty-two million, thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 47 50 55 80 88 94 100 110 176 188 200 220 235 275 376 400 440 470 517 550 752 880 940 1034 1100 1175 1880 2068 2200 2350 2585 3760 4136 4400 4700 5170 8272 9400 10340 12925 18800 20680 25850 41360 51700 59149 103400 118298 206800 236596 295745 473192 591490 650639 946384 1182980 1301278 1478725 2365960 2602556 2780003 2957450 3253195 4731920 5205112 5560006 5914900 6506390 10410224 11120012 11829800 13012780 13900015 16265975 22240024 23659600 26025560 27800030 30580033 32531950 44480048 52051120 55600060 61160066 65063900 69500075 111200120 122320132 130127800 139000150 152900165 222400240 244640264 260255600 278000300 305800330 489280528 556000600 611600660 764500825 1112001200 1223201320 1529001650 2446402640 3058003300 6116006600 12232013200