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12131811320 = 2351743341203
BaseRepresentation
bin10110100110001110…
…01011111111111000
31011022111010212111012
423103013023333320
5144321220430240
65323454453052
7606431460206
oct132307137770
934274125435
1012131811320
115166100452
122426b04188
1311b45658a5
14831330076
154b010ab65
hex2d31cbff8

12131811320 has 64 divisors (see below), whose sum is σ = 28969708320. Its totient is φ = 4556611584.

The previous prime is 12131811299. The next prime is 12131811323. The reversal of 12131811320 is 2311813121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131811323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273839 + ... + 315041.

Almost surely, 212131811320 is an apocalyptic number.

12131811320 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 12131811320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14484854160).

12131811320 is an abundant number, since it is smaller than the sum of its proper divisors (16837897000).

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

12131811320 is a wasteful number, since it uses less digits than its factorization.

12131811320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41664 (or 41660 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 12131811320 in words is "twelve billion, one hundred thirty-one million, eight hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 433 680 866 1732 2165 3464 4330 7361 8660 14722 17320 29444 36805 41203 58888 73610 82406 147220 164812 206015 294440 329624 412030 700451 824060 1400902 1648120 2801804 3502255 5603608 7004510 14009020 17840899 28018040 35681798 71363596 89204495 142727192 178408990 303295283 356817980 606590566 713635960 1213181132 1516476415 2426362264 3032952830 6065905660 12131811320