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12130533024 = 2531631734481
BaseRepresentation
bin10110100110000100…
…10011111010100000
31011022101201220222220
423103002103322200
5144320404024044
65323411231040
7606414554331
oct132302237240
934271656886
1012130533024
115165408005
1224265a8480
1311b4208abc
148310ba288
154aee57019
hex2d3093ea0

12130533024 has 96 divisors (see below), whose sum is σ = 32230384704. Its totient is φ = 3994583040.

The previous prime is 12130533011. The next prime is 12130533031. The reversal of 12130533024 is 42033503121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12130532985 and 12130533003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2704864 + ... + 2709344.

It is an arithmetic number, because the mean of its divisors is an integer number (335733174).

Almost surely, 212130533024 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 12130533024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16115192352).

12130533024 is an abundant number, since it is smaller than the sum of its proper divisors (20099851680).

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

12130533024 is a wasteful number, since it uses less digits than its factorization.

12130533024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4830 (or 4822 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The spelling of 12130533024 in words is "twelve billion, one hundred thirty million, five hundred thirty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 163 173 326 346 489 519 652 692 978 1038 1304 1384 1956 2076 2608 2768 3912 4152 4481 5216 5536 7824 8304 8962 13443 15648 16608 17924 26886 28199 35848 53772 56398 71696 84597 107544 112796 143392 169194 215088 225592 338388 430176 451184 676776 730403 775213 902368 1353552 1460806 1550426 2191209 2325639 2707104 2921612 3100852 4382418 4651278 5843224 6201704 8764836 9302556 11686448 12403408 17529672 18605112 23372896 24806816 35059344 37210224 70118688 74420448 126359719 252719438 379079157 505438876 758158314 1010877752 1516316628 2021755504 3032633256 4043511008 6065266512 12130533024