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12105532500 = 223542370177
BaseRepresentation
bin10110100011000101…
…11100010001010100
31011020122200202201120
423101202330101110
5144243004020000
65321115323540
7605662220445
oct132142742124
934218622646
1012105532500
115152291816
12241a1505b0
1311abc945a9
1482ba4d2cc
154acb696a0
hex2d18bc454

12105532500 has 120 divisors (see below), whose sum is σ = 36831660096. Its totient is φ = 3087744000.

The previous prime is 12105532493. The next prime is 12105532507. The reversal of 12105532500 is 523550121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12105532493) and next prime (12105532507).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12105532507) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 137412 + ... + 207588.

Almost surely, 212105532500 is an apocalyptic number.

12105532500 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 12105532500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18415830048).

12105532500 is an abundant number, since it is smaller than the sum of its proper divisors (24726127596).

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

12105532500 is a wasteful number, since it uses less digits than its factorization.

12105532500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70227 (or 70210 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The spelling of 12105532500 in words is "twelve billion, one hundred five million, five hundred thirty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 125 138 150 230 250 276 300 345 375 460 500 575 625 690 750 1150 1250 1380 1500 1725 1875 2300 2500 2875 3450 3750 5750 6900 7500 8625 11500 14375 17250 28750 34500 43125 57500 70177 86250 140354 172500 210531 280708 350885 421062 701770 842124 1052655 1403540 1614071 1754425 2105310 3228142 3508850 4210620 4842213 5263275 6456284 7017700 8070355 8772125 9684426 10526550 16140710 17544250 19368852 21053100 24211065 26316375 32281420 35088500 40351775 43860625 48422130 52632750 80703550 87721250 96844260 105265500 121055325 131581875 161407100 175442500 201758875 242110650 263163750 403517750 484221300 526327500 605276625 807035500 1008794375 1210553250 2017588750 2421106500 3026383125 4035177500 6052766250 12105532500