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12235130000 = 245410631151
BaseRepresentation
bin10110110010100010…
…10100010010010000
31011120200120000001222
423121101110102100
5200024143130000
65342025144212
7612124613642
oct133121242220
934520500058
1012235130000
115209459295
12245562b068
1311cca9bac2
14840d46892
154b9218a85
hex2d9454490

12235130000 has 100 divisors (see below), whose sum is σ = 29676100608. Its totient is φ = 4885200000.

The previous prime is 12235129987. The next prime is 12235130029. The reversal of 12235130000 is 3153221.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×122351300002 (a number of 21 digits) contains 22 as substring.

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 19 ways as a sum of consecutive naturals, for example, 10629425 + ... + 10630575.

Almost surely, 212235130000 is an apocalyptic number.

12235130000 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 12235130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14838050304).

12235130000 is an abundant number, since it is smaller than the sum of its proper divisors (17440970608).

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

12235130000 is a wasteful number, since it uses less digits than its factorization.

12235130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242 (or 2221 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

Adding to 12235130000 its reverse (3153221), we get a palindrome (12238283221).

The spelling of 12235130000 in words is "twelve billion, two hundred thirty-five million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1063 1151 1250 2000 2126 2302 2500 4252 4604 5000 5315 5755 8504 9208 10000 10630 11510 17008 18416 21260 23020 26575 28775 42520 46040 53150 57550 85040 92080 106300 115100 132875 143875 212600 230200 265750 287750 425200 460400 531500 575500 664375 719375 1063000 1151000 1223513 1328750 1438750 2126000 2302000 2447026 2657500 2877500 4894052 5315000 5755000 6117565 9788104 10630000 11510000 12235130 19576208 24470260 30587825 48940520 61175650 97881040 122351300 152939125 244702600 305878250 489405200 611756500 764695625 1223513000 1529391250 2447026000 3058782500 6117565000 12235130000