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12232311200 = 255237340993
BaseRepresentation
bin10110110010001101…
…00100000110100000
31011120111020210101222
423121012210012200
5200022432424300
65341444514212
7612061633604
oct133106440640
934514223358
1012232311200
1152079034aa
1224546ab968
1311cc322a85
14840811504
154b8d5d785
hex2d91a41a0

12232311200 has 72 divisors (see below), whose sum is σ = 29942919468. Its totient is φ = 4879687680.

The previous prime is 12232311187. The next prime is 12232311253. The reversal of 12232311200 is 211323221.

It can be written as a sum of positive squares in 6 ways, for example, as 2468499856 + 9763811344 = 49684^2 + 98812^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 277904 + ... + 318896.

Almost surely, 212232311200 is an apocalyptic number.

12232311200 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 12232311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14971459734).

12232311200 is an abundant number, since it is smaller than the sum of its proper divisors (17710608268).

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

12232311200 is a wasteful number, since it uses less digits than its factorization.

12232311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41386 (or 41373 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 12232311200 its reverse (211323221), we get a palindrome (12443634421).

The spelling of 12232311200 in words is "twelve billion, two hundred thirty-two million, three hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 373 400 746 800 1492 1865 2984 3730 5968 7460 9325 11936 14920 18650 29840 37300 40993 59680 74600 81986 149200 163972 204965 298400 327944 409930 655888 819860 1024825 1311776 1639720 2049650 3279440 4099300 6558880 8198600 15290389 16397200 30580778 32794400 61161556 76451945 122323112 152903890 244646224 305807780 382259725 489292448 611615560 764519450 1223231120 1529038900 2446462240 3058077800 6116155600 12232311200