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12104332000 = 25533837901
BaseRepresentation
bin10110100010111100…
…10111001011100000
31011020120102202221121
423101132113023200
5144242202111000
65321033502024
7605646060445
oct132136271340
934216382847
1012104332000
115151641872
122419871914
1311ab964037
1482b8199cc
154ac9cdb1a
hex2d17972e0

12104332000 has 96 divisors (see below), whose sum is σ = 29821768704. Its totient is φ = 4828480000.

The previous prime is 12104331973. The next prime is 12104332003. The reversal of 12104332000 is 23340121.

It is a happy number.

12104332000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12104332003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1528050 + ... + 1535950.

It is an arithmetic number, because the mean of its divisors is an integer number (310643424).

Almost surely, 212104332000 is an apocalyptic number.

12104332000 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 12104332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14910884352).

12104332000 is an abundant number, since it is smaller than the sum of its proper divisors (17717436704).

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

12104332000 is an equidigital number, since it uses as much as digits as its factorization.

12104332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8309 (or 8291 counting only the distinct ones).

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

Adding to 12104332000 its reverse (23340121), we get a palindrome (12127672121).

The spelling of 12104332000 in words is "twelve billion, one hundred four million, three hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 383 400 500 766 800 1000 1532 1915 2000 3064 3830 4000 6128 7660 7901 9575 12256 15320 15802 19150 30640 31604 38300 39505 47875 61280 63208 76600 79010 95750 126416 153200 158020 191500 197525 252832 306400 316040 383000 395050 632080 766000 790100 987625 1264160 1532000 1580200 1975250 3026083 3160400 3950500 6052166 6320800 7901000 12104332 15130415 15802000 24208664 30260830 31604000 48417328 60521660 75652075 96834656 121043320 151304150 242086640 302608300 378260375 484173280 605216600 756520750 1210433200 1513041500 2420866400 3026083000 6052166000 12104332000