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12123021300 = 223521317182851
BaseRepresentation
bin10110100101001011…
…01001111111110100
31011021212121021211220
423102211221333310
5144311443140200
65322542230340
7606263660265
oct132245517764
934255537756
1012123021300
115161147375
122423b853b0
1311b27a89b0
148300c296c
154ae4714a0
hex2d2969ff4

12123021300 has 144 divisors (see below), whose sum is σ = 39996315072. Its totient is φ = 2808576000.

The previous prime is 12123021299. The next prime is 12123021319. The reversal of 12123021300 is 312032121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12123021300.

It is a congruent number.

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, 25126 + ... + 157725.

It is an arithmetic number, because the mean of its divisors is an integer number (277752188).

Almost surely, 212123021300 is an apocalyptic number.

12123021300 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 12123021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19998157536).

12123021300 is an abundant number, since it is smaller than the sum of its proper divisors (27873293772).

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

12123021300 is a wasteful number, since it uses less digits than its factorization.

12123021300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182898 (or 182891 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12123021300 its reverse (312032121), we get a palindrome (12435053421).

The spelling of 12123021300 in words is "twelve billion, one hundred twenty-three million, twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 25 26 30 34 39 50 51 52 60 65 68 75 78 85 100 102 130 150 156 170 195 204 221 255 260 300 325 340 390 425 442 510 650 663 780 850 884 975 1020 1105 1275 1300 1326 1700 1950 2210 2550 2652 3315 3900 4420 5100 5525 6630 11050 13260 16575 22100 33150 66300 182851 365702 548553 731404 914255 1097106 1828510 2194212 2377063 2742765 3108467 3657020 4571275 4754126 5485530 6216934 7131189 9142550 9325401 9508252 10971060 11885315 12433868 13713825 14262378 15542335 18285100 18650802 23770630 27427650 28524756 31084670 35655945 37301604 40410071 46627005 47541260 54855300 59426575 62169340 71311890 77711675 80820142 93254010 118853150 121230213 142623780 155423350 161640284 178279725 186508020 202050355 233135025 237706300 242460426 310846700 356559450 404100710 466270050 484920852 606151065 713118900 808201420 932540100 1010251775 1212302130 2020503550 2424604260 3030755325 4041007100 6061510650 12123021300