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12206561532 = 223114312311747
BaseRepresentation
bin10110101111001000…
…10101100011111100
31011111200210120111120
423113210111203330
5144444334432112
65335124550540
7611330026644
oct132744254374
934450716446
1012206561532
1151a4316390
122447b52450
1311c6ba8599
1483b22b524
154b6973e8c
hex2d79158fc

12206561532 has 96 divisors (see below), whose sum is σ = 31837876224. Its totient is φ = 3607934400.

The previous prime is 12206561531. The next prime is 12206561537. The reversal of 12206561532 is 23516560221.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 12206561493 and 12206561502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12206561531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6986283 + ... + 6988029.

It is an arithmetic number, because the mean of its divisors is an integer number (331644544).

Almost surely, 212206561532 is an apocalyptic number.

12206561532 is a gapful number since it is divisible by the number (12) 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 12206561532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15918938112).

12206561532 is an abundant number, since it is smaller than the sum of its proper divisors (19631314692).

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

12206561532 is a wasteful number, since it uses less digits than its factorization.

12206561532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3039 (or 3037 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 12206561532 in words is "twelve billion, two hundred six million, five hundred sixty-one thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 129 132 172 258 473 516 946 1231 1419 1747 1892 2462 2838 3494 3693 4924 5241 5676 6988 7386 10482 13541 14772 19217 20964 27082 38434 40623 52933 54164 57651 75121 76868 81246 105866 115302 150242 158799 162492 211732 225363 230604 300484 317598 450726 582263 635196 826331 901452 1164526 1652662 1746789 2150557 2329052 2478993 3305324 3493578 4301114 4957986 6451671 6987156 8602228 9915972 12903342 23656127 25806684 47312254 70968381 92473951 94624508 141936762 184947902 277421853 283873524 369895804 554843706 1017213461 1109687412 2034426922 3051640383 4068853844 6103280766 12206561532