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12134130324 = 22317713312531
BaseRepresentation
bin10110100110100000…
…00010001010010100
31011022122111200120020
423103100002022110
5144322314132244
65324020305140
7606460256151
oct132320021224
934278450506
1012134130324
115167444788
1224278421b0
1311b4b98294
14831775228
154b0417d19
hex2d3402294

12134130324 has 96 divisors (see below), whose sum is σ = 30504563712. Its totient is φ = 3740352000.

The previous prime is 12134130317. The next prime is 12134130361. The reversal of 12134130324 is 42303143121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12134130294 and 12134130303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4792939 + ... + 4795469.

It is an arithmetic number, because the mean of its divisors is an integer number (317755872).

Almost surely, 212134130324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12134130324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15252281856).

12134130324 is an abundant number, since it is smaller than the sum of its proper divisors (18370433388).

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

12134130324 is a wasteful number, since it uses less digits than its factorization.

12134130324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2957 (or 2955 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12134130324 its reverse (42303143121), we get a palindrome (54437273445).

The spelling of 12134130324 in words is "twelve billion, one hundred thirty-four million, one hundred thirty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 71 102 142 204 213 284 331 426 662 852 993 1207 1324 1986 2414 2531 3621 3972 4828 5062 5627 7242 7593 10124 11254 14484 15186 16881 22508 23501 30372 33762 43027 47002 67524 70503 86054 94004 129081 141006 172108 179701 258162 282012 359402 399517 516324 539103 718804 799034 837761 1078206 1198551 1598068 1675522 2156412 2397102 2513283 3054917 3351044 4794204 5026566 6109834 9164751 10053132 12219668 14241937 18329502 28483874 36659004 42725811 56967748 59481031 85451622 118962062 170903244 178443093 237924124 356886186 713772372 1011177527 2022355054 3033532581 4044710108 6067065162 12134130324