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12132312300 = 2233527735813
BaseRepresentation
bin10110100110010010…
…00110010011101100
31011022112002022201000
423103021012103230
5144321332443200
65323513320300
7606435644613
oct132311062354
934275068630
1012132312300
115166412889
122427106090
1311b46ac924
1483142087a
154b01a9300
hex2d32464ec

12132312300 has 144 divisors (see below), whose sum is σ = 39060312480. Its totient is φ = 3230542080.

The previous prime is 12132312287. The next prime is 12132312319. The reversal of 12132312300 is 321323121.

12132312300 is a `hidden beast` number, since 1 + 21 + 32 + 312 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2084194 + ... + 2090006.

It is an arithmetic number, because the mean of its divisors is an integer number (271252170).

Almost surely, 212132312300 is an apocalyptic number.

12132312300 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 12132312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19530156240).

12132312300 is an abundant number, since it is smaller than the sum of its proper divisors (26928000180).

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

12132312300 is a wasteful number, since it uses less digits than its factorization.

12132312300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6609 (or 6596 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12132312300 its reverse (321323121), we get a palindrome (12453635421).

The spelling of 12132312300 in words is "twelve billion, one hundred thirty-two million, three hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 773 900 1350 1546 2319 2700 3092 3865 4638 5813 6957 7730 9276 11595 11626 13914 15460 17439 19325 20871 23190 23252 27828 29065 34785 34878 38650 41742 46380 52317 57975 58130 69570 69756 77300 83484 87195 104355 104634 115950 116260 139140 145325 156951 173925 174390 208710 209268 231900 261585 290650 313902 347850 348780 417420 435975 521775 523170 581300 627804 695700 784755 871950 1043550 1046340 1307925 1569510 1743900 2087100 2615850 3139020 3923775 4493449 5231700 7847550 8986898 13480347 15695100 17973796 22467245 26960694 40441041 44934490 53921388 67401735 80882082 89868980 112336225 121323123 134803470 161764164 202205205 224672450 242646246 269606940 337008675 404410410 449344900 485292492 606615615 674017350 808820820 1011026025 1213231230 1348034700 2022052050 2426462460 3033078075 4044104100 6066156150 12132312300