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12131124324 = 223112326315193
BaseRepresentation
bin10110100110001001…
…00100010001100100
31011022102211222002220
423103010210101210
5144321031434244
65323432032340
7606422566254
oct132304442144
934272758086
1012131124324
115165781290
1224268326b0
1311b4384c97
148311d1964
154b0022319
hex2d3124464

12131124324 has 96 divisors (see below), whose sum is σ = 32346445824. Its totient is φ = 3502667520.

The previous prime is 12131124323. The next prime is 12131124331. The reversal of 12131124324 is 42342113121.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12131124294 and 12131124303.

It is not an unprimeable number, because it can be changed into a prime (12131124323) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 790872 + ... + 806064.

It is an arithmetic number, because the mean of its divisors is an integer number (336942144).

Almost surely, 212131124324 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 12131124324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16173222912).

12131124324 is an abundant number, since it is smaller than the sum of its proper divisors (20215321500).

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

12131124324 is a wasteful number, since it uses less digits than its factorization.

12131124324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15497 (or 15495 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 12131124324 its reverse (42342113121), we get a palindrome (54473237445).

The spelling of 12131124324 in words is "twelve billion, one hundred thirty-one million, one hundred twenty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 263 276 506 526 759 789 1012 1052 1518 1578 2893 3036 3156 5786 6049 8679 11572 12098 15193 17358 18147 24196 30386 34716 36294 45579 60772 66539 72588 91158 133078 167123 182316 199617 266156 334246 349439 399234 501369 668492 698878 798468 1002738 1048317 1397756 2005476 2096634 3843829 3995759 4193268 7687658 7991518 11531487 11987277 15375316 15983036 23062974 23974554 43953349 46125948 47949108 87906698 91902457 131860047 175813396 183804914 263720094 275707371 367609828 527440188 551414742 1010927027 1102829484 2021854054 3032781081 4043708108 6065562162 12131124324