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12130223320 = 235615099767
BaseRepresentation
bin10110100110000010…
…01000010011011000
31011022101011012011101
423103001020103120
5144320314121240
65323400441144
7606412124365
oct132301102330
934271135141
1012130223320
115165216356
1224264791b4
1311b412ab47
1483103946c
154aede539a
hex2d30484d8

12130223320 has 64 divisors (see below), whose sum is σ = 27797774400. Its totient is φ = 4762682880.

The previous prime is 12130223297. The next prime is 12130223341. The reversal of 12130223320 is 2332203121.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1237077 + ... + 1246843.

It is an arithmetic number, because the mean of its divisors is an integer number (434340225).

Almost surely, 212130223320 is an apocalyptic number.

12130223320 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 12130223320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13898887200).

12130223320 is an abundant number, since it is smaller than the sum of its proper divisors (15667551080).

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

12130223320 is a wasteful number, since it uses less digits than its factorization.

12130223320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10348 (or 10344 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 12130223320 its reverse (2332203121), we get a palindrome (14462426441).

The spelling of 12130223320 in words is "twelve billion, one hundred thirty million, two hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 509 610 1018 1220 2036 2440 2545 4072 5090 9767 10180 19534 20360 31049 39068 48835 62098 78136 97670 124196 155245 195340 248392 310490 390680 595787 620980 1191574 1241960 2383148 2978935 4766296 4971403 5957870 9942806 11915740 19885612 23831480 24857015 39771224 49714030 99428060 198856120 303255583 606511166 1213022332 1516277915 2426044664 3032555830 6065111660 12130223320